Ohio Rev. Code Ann. § 1329.54
As used in sections 1329.54 to 1329.67 of the Revised Code:
(H) A trademark shall be considered "used" in this state when either of the following applies:
(I) A service mark shall be considered "used" in this state when both of the following apply:
(J) A mark shall be considered "abandoned" when either of the following occurs: