The state Court of Appeals has refused to rehear arguments from Paul Evans, convicted of two counts of murder and given two life sentences in 2001.
Evans was convicted for the shooting deaths of two teenage girls in rural Jones County.
The bodies of 19-year-old Amanda Welborn, of Laurel, and 18-year-old Kelsey Bullock, of Stringer, were left by the side of a road on Feb. 26, 2000. Authorities say each was shot in the back of the head.
The Court of Appeals upheld Evans' convictions last August. Evans can now ask the Mississippi Supreme Court to hear his appeal.
Evans and Nathan Townsend, both of Laurel, were charged in the slayings. The court record did not say what happened in the case against Townsend. Townsend testified against Evans in the latter's trial and said Evans shot the two girls.
Prosecutors also used police statements from Evans at trial. On appeal, Evans claimed those statements shouldn't have been used because he was taken into custody and interrogated at a time when probable cause did not exist for his arrest.