McGonegal told police he is HIV positive as he was being arrested.
The indictment was released shortly after noon Friday.
McGonegal is being charged with three counts, which include counts of soliciting and public indecency.
According to the Diocese of Cleveland, McGonegal has since "stepped away from his duties" at St. Ignatius of Antioch parish to "attend to his personal matters".
Police report that three sexual objects were discovered in his car along with a bottle of intoxicant.
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