(I) An exemption from taxation granted under this section commences with the tax year specified in the ordinance so long as the year specified in the ordinance commences after the effective date of the ordinance. If the ordinance specifies a year commencing before the effective date of the ordinance or specifies no year whatsoever, the exemption commences with the tax year in which an exempted improvement first appears on the tax list and that commences after the effective date of the ordinance. In lieu of stating a specific year, the ordinance may provide that the exemption commences in the tax year in which the value of an improvement exceeds a specified amount or in which the construction of one or more improvements is completed, provided that such tax year commences after the effective date of the ordinance.
Except as otherwise provided in this division, the exemption ends on the date specified in the ordinance as the date the improvement ceases to be a public purpose or the downtown redevelopment district expires, whichever occurs first. The exemption of an improvement within a downtown redevelopment district may end on a later date, as specified in the ordinance, if the legislative authority and the board of education of the city, local, or exempted village school district within which the parcel or district is located have entered into a compensation agreement under section 5709.82 of the Revised Code with respect to the improvement, and the board of education has approved the term of the exemption under division (G) of this section, but in no case shall the improvement be exempted from taxation for more than thirty years. Exemptions shall be claimed and allowed in the same manner as in the case of other real property exemptions. If an exemption status changes during a year, the procedure for the apportionment of the taxes for that year is the same as in the case of other changes in tax exemption status during the year.