Ohio Rev. Code Ann. § 6135.20

The board of county commissioners of any county in this state, in which are located owners and lands affected and charged for the improvement or construction of a ditch, drain, or watercourse, as provided by law, may cause to be performed any work which is assigned to them outside of the limits of this state in a like manner as under the laws for similar duties, if the necessary privilege to do so has been granted by the legislature of the state where said lands are located through which such work is to be constructed.