how long does it take for a 3 year sentence to be...

Please be kindly informed that, according to the information provided to us in your inquiry, and with reference to Law No. (23) of 2004 promulgating the Code of Criminal Procedure
Article 14
The criminal case in felonies shall expire after ten years, in misdemeanor matters after three years, and in violations after one year, unless the law stipulates otherwise. This period begins from the day the crime occurred.
***Without prejudice to the provisions of the previous paragraph, the expiration period of the criminal case shall not begin in the crimes committed by a public employee and stipulated in Articles (148), (149), (150), (152), (153), (154), (155). , (156), (157) of the Penal Code except from the date of termination of service or cessation of capacity, unless the investigation into it begins before that.