CHICAGO (CBS)–The U.S. Supreme Court has declined to hear former Chicago-area police officer Drew Peterson’s appeal of his murder conviction following the drowning death of his third wife.

The high court refused Monday to take up Peterson’s bid to have his murder conviction overturned. His appeal request was filed in June.

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Drew Peterson (Photo by Scott Olson/Getty Images)

Peterson, 64, a former Bolingbrook police officer, is serving a 38-year sentence for Kathleen Savio’s 2004 death and another 40-year sentence after being convicted of plotting to kill the prosecutor in the case.

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The Illinois Supreme Court declined to overturn Peterson’s murder conviction last year.

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Peterson is being held at a federal prison in Indiana. He’s also a suspect in the 2007 disappearance of his fourth wife, Stacy Peterson, but hasn’t been charged.