Ohio Rev. Code § 6117.17
At the conclusion of the trial provided for in section 6117.15 of the Revised Code, the probate court shall find separately upon each claim for adjustment of the apportionment of the tentative assessment, if the appeal is from the judgment of the board of county commissioners in reference to apportionment of such assessment. The court shall determine whether the improvement petitioned for or granted will be necessary for the public health, convenience, or welfare, or whether the cost of it will exceed the benefit resulting from such improvement, or whether the boundaries of the assessment district should be modified, if the appeal is from an order establishing the proposed improvement or dismissing or refusing to grant the prayer of the petition or establishing the boundaries of the assessment district.
If the court finds that the cost of the improvement will exceed the benefit resulting from it, it shall declare that the improvement is not necessary for the public health, convenience, or welfare. No property shall be added to the assessment district until the owners of it have been given an opportunity to be heard by the court. A notice of such hearing shall be served on such property owners by the court in the manner provided for the service of summons in civil actions. If such owners are not residents of the county, or if in any case it appears by the return of the notice that such owner cannot be found, the notice shall be published at least twice in a newspaper of general circulation within the county, and the date of such hearing shall be at least one week after service of notice or of the second publication of such notice. If a new trial is not granted for cause shown, the court shall render a judgment ordering such modification of the tentative assessment, or of the boundaries of the assessment district as the court determines. The court shall also make a finding for or against the improvement.
R.C. § 6117.17