hayan disturbado
-they/you have disturbed
Present perfect subjunctive ellos/ellas/ustedes conjugation of disturbar.

disturbar

La policía protege con discreción todos los lugares de culto y no se han dado nunca hechos que hayan disturbado las asambleas religiosas.
All the places of worship are protected, with discretion, by the police and nothing has ever happened to disturb religious gatherings.
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