Ohio Revised Code Title XXXV. Elections § 3501.10

(A) The board of elections shall, as an expense of the board, provide suitable rooms for its offices and records and the necessary and proper furniture and supplies for those rooms. The board may lease such offices and rooms, necessary to its operation, for the length of time and upon the terms the board deems in the best interests of the public, provided that the term of any such lease shall not exceed fifteen years.

Thirty days prior to entering into such a lease, the board shall notify the board of county commissioners in writing of its intent to enter into the lease. The notice shall specify the terms and conditions of the lease. Prior to the thirtieth day after receiving that notice and before any lease is entered into, the board of county commissioners may reject the proposed lease by a majority vote. After receiving written notification of the rejection by the board of county commissioners, the board of elections shall not enter into the lease that was rejected, but may immediately enter into additional lease negotiations, subject to the requirements of this section.

The board of elections in any county may, by resolution, request that the board of county commissioners submit to the electors of the county, in accordance with section 133.18 of the Revised Code, the question of issuing bonds for the acquisition of real estate and the construction on it of a suitable building with necessary furniture and equipment for the proper administration of the duties of the board of elections. The resolution declaring the necessity for issuing such bonds shall relate only to the acquisition of real estate and to the construction, furnishing, and equipping of a building as provided in this division.

(B) The board of elections in each county shall keep its offices, or one or more of its branch registration offices, open for the performance of its duties until nine p.m. on the last day of registration before a general or primary election. At all other times during each week, the board shall keep its offices and rooms open for a period of time that the board considers necessary for the performance of its duties.

(C) The board of elections may maintain permanent or temporary branch offices at any place within the county, provided that, if the board of elections permits electors to vote at a branch office, electors shall not be permitted to vote at any other branch office or any other office of the board of elections.