Answer:
Most states have an expungement law. You must check into its applicability in your specific case. Suggest you contact an attorney for assistance - unless you have a legal background, having your record expunged is NOT a do-it-yourself project.
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In the state of New York, misdemeanors and felonies cannot be expunged from your record. In those instances, the only avenue is to obtain a Certificate of Relief from Disabilities or a Certificate of Good Conduct to counter the conviction.