Whenever the county government shall determine it to be in the public interest, said county government, upon its own motion, but after a public hearing called and held in the manner provided in § 4604 of this title, may dissolve and discontinue any sewer district:
(1) Provided that the period of 3 years shall have elapsed since the date of establishment of such district, and that no improvement has been constructed or service provided for such district at any time since the establishment thereof; and
(2) Further provided that there be no indebtedness outstanding and unpaid, incurred to accomplish any of the purposes of such district.