Ohio Rev. Code Ann. § 753.03

A municipal legislative authority may, by ordinance, provide for the keeping of persons convicted and sentenced for misdemeanors, during the term of their imprisonment, at such place as the legislative authority determines, provided that the place selected is in substantial compliance with the minimum standards for jails in Ohio promulgated by the department of rehabilitation and correction. The legislative authority may enter into a contract under section 9.06 of the Revised Code for the private operation and management of any municipal correctional facility, but only if the facility is used to house only misdemeanant inmates.