The authority may at any time pay off and discharge in full all of its indebtedness, obligations and liabilities, convey the airport properties, appurtenances and facilities to the county commission and be dissolved. Before making such conveyance of its properties, the authority shall give notice of its intention to do so and of its intention to be dissolved, and said notice shall be published as a Class I-0 legal advertisement in compliance with the provisions of article three, chapter fifty-nine of this code, and the publication area for such publication shall be the county. Affidavits from the publishers of the newspapers showing such publication shall be filed with the county commission before the deed conveying said properties is delivered. Any funds remaining in the hands of the authority at the time of the conveyance of said properties shall be by the authority paid over to the county commission to be used by it for purposes in connection with said airport. Upon the payment of its indebtedness, obligations and liabilities, the publishing of the notices aforesaid, the conveyance of its properties, and the paying over to the county commission of any funds remaining in its hands, the authority shall cause a certificate showing its dissolution to be executed under its name and seal and to be recorded in the office of the clerk of the county commission and thereupon its dissolution shall be complete.