Bonds may be issued by such drainage district, or drainage and levee district, located in more than one (1) county, to pay for the cost and expenses of the proposed improvement in the general method provided in part 9 of this chapter. Such bonds shall be signed by the county mayor of each of the counties that have lands in such district, and countersigned by the county clerk of each of the counties, and the county seal, or seal of the county clerk, of each county shall be affixed to such bonds by each of the clerks, and the bonds shall be signed and sealed first by the officers of counties other than that in which the proceeding is pending, and last by the officers of the county in which the petition was filed and the proceeding pending, and shall then be ready for issuance. Such bonds shall show upon their face that they are issued by the several counties having lands in such district. The assessments on the lands in each county shall only be bound and liable for their pro rata part of such bonds and interest on the bonds, and according to assessments levied; and only the lands in such district shall be liable for the assessments levied on the lands as provided in part 9 of this chapter. It is the duty of each of the officers in each of the counties to sign, and countersign, and seal such bonds, as provided in part 9 of this chapter, when they have been ordered issued by the court in which the petition was filed and proceeding is pending.