More than 35 years after murdering their parents in a volley of shotgun blasts, brothers Erik and Lyle Menendez are the closest to freedom since they were arrested and sentenced to life in prison.

The siblings — who infamously gunned down their mother and father in 1989 at the family’s Beverly Hills home — will go before a California parole board this week.

In recent years, the brothers have become a cause celebre amid mounting evidence that the slayings followed years of sexual abuse by their father.

A Los Angeles County judge agreed to resentence them earlier this year over the objections of L.A.’s top prosecutor.

Now, if the parole board finds they have been rehabilitated, the brothers could soon be sent home to reunite with the family members who have spent years fighting for the

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