ORDER AND JUDGMENT *
Mr. Kevin James Ruppert is a state prisoner convicted of murder and sen-*822fenced to life imprisonment. He sued under 42 U.S.C. § 1983, seeking damages and equitable relief based on the duration of his confinement and the conditions in his prison. On screening, the district court dismissed Mr. Ruppert’s claims relating to extension of confinement to increase profit, denial of the opportunity to participate in rehabilitative programs, and denial of legal materials.
Though this order did not terminate the action, Mr. Ruppert filed an interlocutory appeal (No. 14-2030). While that appeal was pending, the district court granted summary judgment to the defendants on Mr. Ruppert’s claim of retaliation. Mr. Ruppert again appealed (No. 14-2123).1
We affirm the district court’s two orders.
I.Mr. Ruppert’s Claims and the Disposition
The complaint contains five claims:
1. The New Mexico Department of Corrections and the company operating the correctional facility used disciplinary actions as a pretext to increase profit by keeping individuals imprisoned longer than they should have been.
2. Prison officials deprived Mr. Rup-pert of due process by excluding him from rehabilitative programs.
3. Authorities did not allow Mr. Rup-pert to have adequate access to legal materials.
4. The sentence, life imprisonment, was unauthorized.
5.Prison officials retaliated against Mr. Ruppert.
The district court dismissed the first three claims and held that the defendants were entitled to summary judgment on the fifth claim. We agree with these rulings.
The fourth claim (unauthorized life sentence) was not discussed in the district court’s opinion. But this omission was harmless because the claim was invalid on its face.
II. Appeal No. 14-2030
We start with the first appeal (No. 14-2030).
A. The Appeal
The first appeal involves the claims involving extension of Mr. Ruppert’s confinement, loss of the opportunity to participate in rehabilitative programs, denial of access to legal materials, and invalidity of the life sentence. In our view, all of these claims are facially invalid.
1. Standard of Review
In reviewing the district court’s dismissal of these claims, we engage in de novo review. See Vasquez Arroyo v. Starks, 589 F.3d 1091, 1094 (10th Cir.2009) (“Like dismissals under Rule 12(b)(6), we review de novo a district court’s sua sponte dismissal pursuant to ... § 1915(e)(2) in an informa pauperis proceeding.”).
2. Claims Discussed by the District Court
The district court discussed three of the claims, explaining why they fail as a matter of law.
*823a. Extending Confinement
For example, the district court properly rejected the first claim (extension of confinement to increase profits).. As the district court explained, this claim was eonclu-sory.-
In the complaint, the plaintiff must allege sufficient facts — as opposed to mere conclusions — to state a claim that is plausible on its face. See S.E.C. v. Shields, 744 F.3d 633, 640 (10th Cir.2014). This plausibility standard governs even though Mr. Ruppert has prosecuted the case without an attorney. See Hall v. Witteman, 584 F.3d 859, 863-64 (10th Cir.2009).
In the complaint, Mr. Ruppert alleges that
• the New Mexico Department of Corrections and the company operating his facility were “using crime to produce a commodity to feed the private prison sector” and
• “in order to maintain the financial structure,” prison officials processed “a high rate of disciplinary misconduct. reports to deprive [inmates] of rehabilitation” and enhance sentences.
R. at 19.
These allegations do not state a plausible claim involving harm to Mr. Ruppert. He was sentenced to life imprisonment, and there is nothing in the complaint to suggest extension of his confinement because of the company’s “financial structure,” “feeding]” of the private prison industry, or processing of misconduct reports. i-
b. Denial of the Opportunity to Participate in Rehabilitative Programs
The district court also properly rejected Mr. Ruppert’s claim involving his inability to participate in rehabilitative programs.
These programs, in themselves, do not implicate constitutional concerns; See Moody v. Daggett, 429 U.S. 78, 88 n. 9, 97 S.Ct. 274, 50 L.Ed.2d 236 (1976); Wolford v. INS ex rel Colo., 48 F.3d 477, 478 (10th Cir.1995), It is true that constitutionally protected interests may sometimes arise from state law. See Wilkinson v. Austin, 545 U.S. 209, 221, 125 S.Ct 2384, 162 L.Ed.2d 174 (2005). But state law can create a protected interest only by imposing “substantive limitations on official discretion.” Olim v. Wakinekona, 461 U.S. 238, 249, 103 S.Ct. 1741, 75 L.Ed.2d 813 (1983).
Mr. Ruppert relies on N.M. Stat. Ann. .§ 33-8-3, which addresses prison industries. This law states: “The purpose of the Corrections Industries Act is to enhance rehabilitation, education and vocational skills of inmates through productive involvement in enterprises and public works of benefit to state agencies and local public .bodies and to minimize inmate idleness.” As the district court explained, this language does not limit discretion in the administration of prison programs. Thus, the right to due process is not violated'by loss of opportunities to participate in rehabilitative programs.
c.Denial of Legal Materials
We also reject the claim involving Mr. Ruppert’s alleged inability to access legal materials.
.The Supreme Court clarified in Lewis v. Casey, 518 U.S. 343, 350-51, 116 S.Ct. 2174, 135 L.Ed.2d 606 (1996), that prisoners lack “an abstract, freestanding right to a law library or legal assistance,” but do .enjoy a right of access to the courts.
To plead a violation of this right; a prisoner must allege facts indicating an “actual injury” involving a nonfrivolous legal claim about a conviction or the conditions of confinement. Gee v. Pacheco, 627 F.3d *8241178, 1191 (10th Cir.2010).2 The prisoner’s allegations of actual injury must go beyond mere conclusions. See Wardell v. Duncan, 470 F.3d 954, 959 (10th Cir.2006) (stating that conclusory allegations of injury will not suffice).
We agree with the district court that Mr. Ruppert’s conclusory allegations of injury, which were not tied to the adverse disposition of a particular legal claim, .do not' satisfy the prejudice requirement in Lewis.
Mr. Ruppert insists that because he could not use legal reference material, he did not know how to supplement his pleadings in a related federal case after prison officials filed a Martinez report. Actually, he was able to prepare a Supplemental pleading in that case. The district court simply explained that Mr. Ruppert did not heed to file anything until prison officials filed a Martinez report. This incident does -not suggest an impediment to Mr. Ruppert’s prosecution of his federal suit.3
3. Additional Claim: Validity of a Term for Life Imprisonment
In the complaint, Mr. Ruppert also attacks the validity of his sentence to life imprisonment. According to Mr. Ruppert, New Mexico lacks statutory authority to keep individuals in prison for life after they have spent 30 years in confinement. The district court apparently overlooked this claim in the dismissal order.4 But the oversight is harmless because this claim would have been invalid under New Mexico law.
In New Mexico, life imprisonment was an available sentence for Mr. Ruppert’s murder conviction. When Mr. Ruppert was sentenced, state law designated the crime as a capital felony, creating two possible sentences: the death penalty or life imprisonment. See § 31-18-14(A).5 New Mexico later abolished the death penalty, stating that if someone had been sentenced to death, the sentence would auto*825matically change to life imprisonment. See id. § 31-18-14(B), . But, ...that amendment did not affect Mr. Ruppert, for his sentence had always been life imprisonment. That sentence was expressly authorized by New Mexico law both before and after the state’s abolition.of the death penalty.
Mr. Ruppert also argues that New Mexico law does not adequately define life sentences, which lack determinate minimum and maximum terms of years. It is true that life sentences in- New Mexico are not framed by such terms. See Compton v. Lytle, 134 N.M. 586, 81 P.3d 39, 43 (2003) (stating that life sentences lack a determinate maximum term, refusing to read specification of 30-year parole-eligibility date as creating a determinate minimum term).' Rather,, such sentences are framed by reference to
• the requirement of “thirty years- of imprisonment before the possibility of parole [not release],”6 and
• the directive that, absent parole, imprisonment continues'“until the death of the prisoner.”7
But that does not leave a life sentence “undefined,” for the meaning of a life sentence is clear: imprisonment for the rest of the prisoner’s life (unless the inmate obtains parole after imprisonment for at least 30 years). See State v. Trujillo, 131 N.M. 709, 42 P.3d 814, 820 (2002) (stating that life imprisonment has been interpreted in New Mexico to mean imprisonment for 30 years before the possibility of parole or good time credits);. see also State v. Juan, 148 N.M. 747, 242 P.3d 314, 327 (2010) (stating that the length of a life sentence cannot be determined until the inmate dies). Mr. Ruppert does not cite any authority suggesting that this understanding of state law .renders his. life sentence invalid as a matter of state -law or suspect as a matter of federal law.
In sum) Mr. Ruppert has not demonstrated any error in the dismissal order in Appeal No. 14-2030.
B. Pending Motions
Mr. Ruppert has filed eight motions in this appeal. We address them separately.
1. “Motion for Damages at the Appellate Court’s Discretion” (Jan. 26, 2015)
Mr. Ruppert filed a .motion for damages, to be.awarded at our discretion. But we lack discretion to award damages. This motion is denied.
2. “Motion for Plenary Review” (Jan. 26, 2015)
In this motion, Mr. Ruppert appears to seek a congressional investigation into the District of New Mexico’s adjudication of prisoner cases. The Court lacks the power to order such an investigation. This motion is denied.
3. Motion for Miscellaneous Relief (July 25, 2014)
In the aspects of this motion that remain pending, Mr. Ruppert appears to seek appointment of counsel and waiver of the filing fee. These requests are unwarranted, and we deny the motion.
4. Motion for Change of Venue (July 11, 2014)
Mr. Ruppert seeks a change of venue to another-federal district «within the Tenth Circuit. This motion is moot because the proceedings in district court are *826now terminated in light of- our disposition of the appeal.
5. Fraud on the Court (July 11, 2014)
This is, in effect, an unauthorized supplemental brief. This brief is stricken.
6. Motion for Attorney Fees (July 11, 2014)
Mr. Ruppert has not prevailed in the appeal. This motion is denied.
7. Motion for Investigation (May 16, 2014)
Mr. Ruppert complains of a call, but the caller is not identified. This motion is denied.
8. Motion for Leave to Proceed in Forma Pauperis (Apr. 25, 2014)
This motion is granted.
III. Appeal No. 14-2123
We turn to the second appeal (No. 14-2123).
A. The Appeal
This appeal involves Mr. Ruppert’s retaliation claim. On this claim, the district court granted summary judgment to the defendants. We agree with this ruling.
The magistrate judge and district judge thoroughly explained the evidentiary deficiencies on the retaliation claim. On appeal, Mr. Ruppert focuses largely on the prior dismissal order and other extraneous matters, failing to address the substance of the district court’s rationale.
In an appeal from the grant of summary judgment, the appellant must advance an argument (with supporting references to the evidence) regarding why the district court’s decision was incorrect. See Gross v. Burggraf Constr. Co., 53 F.3d 1531, 1546-47 (10th Cir.1995). Even for a pro se appellant, “the court cannot' take on the responsibility of serving as the litigant’s attorney in constructing arguments and searching the record.” Garrett v. Selby Connor Maddux & Janer, 425 F.3d 836, 840 (10th Cir.2005). There is nothing in Mr. Ruppert’s- briefs that would suggest error in the- summary judgment ruling.8
B. Pending Motions
Mr. Ruppert has filed nine motions in this appeal. We address' them separately.
1. Motion fór Rule 11 Sanctions (Jan. 26, 2015)
Federal Rule of Civil. Procedure 11 addresses sanctions in district court, not our court. This motion is denied.
2. Motion for Attorney Fees (Jan. 26, 2015)
Mr. Ruppert has not prevailed in this appeal. Thus,-we deny his motion for an award of attorney fees.
3. “Motion to Be Exempt from 1997(e) PLRA” (Jan. 26, 2015)
This motion is, in effect, an unauthorized supplemental brief. This document is stricken.
4. “Motion for Plenary Review” (Jan. 26, 2015)
This motion is denied for the reasons discussed above.
*8275. Motion for Award of Damages (Jan. 26,2015)
This motion is denied for the reasons discussed above.
6. “Motion to Waive Filing Fee or Assess Filing Fee for Second Appeal No. 14-2123 into Pending Appeal No. 14-2030” (Oct. 6, 2014)
Mr. Ruppert seeks relief from the filing fee. We deny the request.
In part, Mr. Ruppert wants us to waive the filing fee. For the sake of argument, we can assume that we have this authority. Cf. Porter v. Dep’t of Treasury, 564 F.3d 176, 180 (3d Cir.2009) (holding that the Prison Litigation Reform Act prevents the Court of Appeals from waiving an inmate plaintiffs filing fee). But even with this assumption, we would deny the motion because Mr. Ruppert has not justified waiver of the filing fee.
Mr. Ruppert is also apparently seeking some alternative form of relief with regard to the filing fee. The precise nature of that relief is unclear. For example, it is possible that Mr. Ruppert' is asking us to apply his installment payments in the first appeal (No. 14-2030) to the filing fee in both appeals (14-2030 and 14-2123). If so, the request would effectively involve waiver of the filing fee in the second appeal (No. 14 — 2123); and we have already held that Mr. Ruppert is not entitled to waive the filing fee in the second appeal (No. 14-2123). Thus, if this is what Mr. Ruppert is wanting, we would deny the request.
But it is not clear that this is what Mr. Ruppert is wanting. It may be that he is simply wanting us, to postpone his installment payments in the second appeal (No. 14-2123) until he has fully paid the filing fee in the first appeal (No. 14-2030). If so, we have held in Christensen v. Big Horn Board of County Commissioners that this relief is unavailable. 374 Fed.Appx. 821, 829-33 (10th Cir.2010). We regard' Chrisiensen as persuasive, concluding as we did in that case that the installment payments must be paid simultaneously in both appeals. Thus, if Mr. Ruppert is requesting postponement of the installments in the second appeal (No. 14-2123), we would deny the request.
Accordingly,- we deny the motion based on either of the possible constructions.
7. Request for Fee Consolidation (Oct. 6, 2014)
This request is denied for the reasons stated above.
8. Motion for Leave to Proceed in Forma Pauperis (Oct. 6, 2014)
This motion is granted.
IV. Conclusion,
’ ‘ We affirm in Appeals Nos. 14-2030 and 14-2123.