Ohio Rev. Code § 305.31
The procedure for submitting to a referendum a resolution adopted by a board of county commissioners under division (H) of section 307.695 of the Revised Code that is not submitted to the electors of the county for their approval or disapproval; any resolution adopted by a board of county commissioners pursuant to division (D)(1) of section 307.697, section 322.02, or 322.06, sections 940.32 and 940.35, division (B)(1) of section 4301.421, section 4504.02, 5739.021, or 5739.026, division (F), (J), or (U) of section 5739.09, section 5741.021 or 5741.023, or division (C)(1) of section 5743.024 of the Revised Code; or a rule adopted pursuant to section 307.79 of the Revised Code shall be as prescribed by this section.
Except as otherwise provided in this paragraph, when a petition, signed by ten per cent of the number of electors who voted for governor at the most recent general election for the office of governor in the county, is filed with the county auditor within thirty days after the date the resolution is passed or rule is adopted by the board of county commissioners, or is filed within forty-five days after the resolution is passed, in the case of a resolution adopted pursuant to section 5739.021 of the Revised Code that is passed within one year after a resolution adopted pursuant to that section has been rejected or repealed by the electors, requesting that the resolution be submitted to the electors of the county for their approval or rejection, the county auditor shall, after ten days following the filing of the petition, and not later than four p.m. of the ninetieth day before the day of election, transmit a certified copy of the text of the resolution or rule to the board of elections. In the case of a petition requesting that a resolution adopted under division (D)(1) of section 307.697, division (B)(1) of section 4301.421, or division (C)(1) of section 5743.024 of the Revised Code be submitted to electors for their approval or rejection, the petition shall be signed by seven per cent of the number of electors who voted for governor at the most recent election for the office of governor in the county. The county auditor shall transmit the petition to the board together with the certified copy of the resolution or rule. The board shall examine all signatures on the petition to determine the number of electors of the county who signed the petition. The board shall return the petition to the auditor within ten days after receiving it, together with a statement attesting to the number of such electors who signed the petition. The board shall submit the resolution or rule to the electors of the county, for their approval or rejection, at the succeeding general election held in the county in any year, or on the day of the succeeding primary election held in the county in even-numbered years, occurring subsequent to ninety days after the auditor certifies the sufficiency and validity of the petition to the board of elections.
No resolution shall go into effect until approved by the majority of those voting upon it. However, a rule shall take effect and remain in effect unless and until a majority of the electors voting on the question of repeal approve the repeal. Sections 305.31 to 305.41 of the Revised Code do not prevent a county, after the passage of any resolution or adoption of any rule, from proceeding at once to give any notice or make any publication required by the resolution or rule.
The board of county commissioners shall make available to any person, upon request, a certified copy of any resolution or rule subject to the procedure for submitting a referendum under sections 305.31 to 305.42 of the Revised Code beginning on the date the resolution or rule is adopted by the board. The board may charge a fee for the cost of copying the resolution or rule.
As used in this section, "certified copy" means a copy containing a written statement attesting that it is a true and exact reproduction of the original resolution or rule.
R.C. § 305.31