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Erik and Lyle Menendez 's last-ditch effort to get a new trial following their parole denials was unsuccessful ... as a Los Angeles judge has shut down their retrial request.

L.A. County Superior Court Judge William Ryan denied the Menendez brothers' legal challenge, explaining his reason in a 17-page response, saying the alleged new evidence -- seemingly proving the murder convictions were unfair -- is not "particularly strong," NBC4 LA reports . Getty

He wrote ... "The evidence alleged here is not so compelling that it would have produced a reasonable doubt in the mind of at least one juror or supportive of an imperfect self-defense instruction." CDCR

Remember, the brothers submitted a writ of habeas corpus in 2023, when they introduced new evidence tied to sex

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