A repeat offender - someone who reoffends, who commits a crime on more than one occasion.(noun)
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Use "reoffender" in a sentence
"The reoffender rate would drop as noone would want to spend time in such a place too often."
"Rachel from north London: Rape victim of foreign reoffender to speak out?"
"Defence barrister Andrew Boe told the court his client had taken steps to get help and that a psychological assessment had determined he was a low-risk reoffender."