Ohio Rev. Code Ann. § 3772.19
A person shall not hold a majority ownership interest in, or be a management company for, more than two casino facilities at any one time. A person shall not hold a majority ownership interest in, or be a management company, for more than two tracks at which horse racing where the pari-mutuel system of wagering is conducted at any one time, of which not more than one shall be a track for thoroughbred horses.