There are numerous synonyms for the phrase "serve out a jail sentence." Some of the commonly used ones include completing a prison term, fulfilling a penal sentence, serving time behind bars, finishing a correctional stint, carrying out a jail punishment, concluding a confinement period, enduring a custodial sentence, finalizing a detention period, and spending time in custody. Additionally, other phrases that convey the same meaning include paying one's debt to society, being released from prison after serving time, and finishing a term of incarceration. No matter what phrase is used, the critical component is that the sentence has been served, and the convicted individual can move forward with their life.