Ohio Rev. Code Ann. § 709.33

When the transcripts of annexation proceedings are certified as provided in section 709.32 of the Revised Code, and after one of them is delivered to the county recorder and the other forwarded to the secretary of state, the annexation shall be complete and the conditions of annexation shall thereupon become operative. The municipal corporation to which the annexation is made shall pass such ordinances as will carry into effect the conditions of annexation.