Ohio Rev. Code § 302.22
Every agreement entered into under sections 302.21 to 302.24, inclusive, of the Revised Code, shall provide, either in specific terms or by prescribing a method for determining the amounts, for any payments to be made by the contracting subdivision into the county treasury, in consideration of the performance of the agreement. In cases where it is deemed practicable, the agreement may provide that payment shall be made by the retention in the treasury of the amounts due from taxes collected for the contracting subdivision and the county auditor and county treasurer shall be governed by any such provision in settling the accounts for such taxes.
Any agreement entered into by and between two or more boards of county commissioners shall specify the method of payment for the joint exercise of any power, the joint performing of any function, or the joint rendering of any service, which method of payment shall be authorized and binding on the counties so long as the agreement is in effect.
R.C. §302.22