Ohio Rev. Code Ann. § 109.17

In all cases instituted by the attorney general under sections 109.01 to 109.22, inclusive, of the Revised Code, the writ may be sent by mail to the sheriff of any county, and returned by him in like manner. For such service, the sheriff shall be allowed the same mileage and fees as if the writ had been issued from the court of common pleas or the court of appeals of his county, and made returnable thereto.