Ohio Revised Code Title XXXV. Elections § 3503.33

If an elector applying for registration is already registered in another state or in another county within this state, the elector shall declare this fact to the registration officer and shall sign an authorization to cancel the previous registration on a form prescribed by the secretary of state.

The director of the board of elections shall mail all such authorizations to the board of elections or comparable agency of the proper state and county. Upon the receipt of this authorization from the forwarding county, the director of a board of elections in Ohio, upon a comparison of the elector's signature with the elector's signature as it appears on the registration files, shall remove the elector's registration from the files, and place it with the cancellation authorization in a separate file which shall be kept for a period of two calendar years. The board shall notify the elector at the present address as shown on the cancellation authorization that his registration has been canceled.