(A) The territory within the territorial limits of a county, or the territory included in a district formed under section 3311.053 of the Revised Code, exclusive of the territory embraced in any city school district or exempted village school district, and excluding the territory detached therefrom for school purposes and including the territory attached thereto for school purposes constitutes an educational service center. If the educational service center in which the territory of a local school district is located is dissolved under section 3311.0510 of the Revised Code, the territory of that local school district shall not constitute part of any educational service center.

(B) A county school financing district created under section 3311.50 of the Revised Code is not the school district described in division (A) of this section or any other school district but is a taxing district.