(1) In the case of all leases issued under the provisions in force prior to February 28, 1953, where oil or gas is being produced, the board shall at the expiration thereof or termination for any cause advertise the land held thereunder for re-leasing and lease the same to the highest responsible bidder therefor at public auction on the terms then existing for such leasing. Any person, association, firm, or corporation who held such lease at the expiration thereof shall have the privilege of re-leasing the same at such highest responsible bid offered therefor upon such terms and conditions as may be prescribed by the board or the legislature.
(2) In the case of all leases issued under the provisions in force prior to February 28, 1953, where oil or gas is not being produced, the board may at the expiration thereof or termination for any cause advertise the land held thereunder for re-leasing and lease the same to the highest responsible bidder therefor at public auction if in the judgment of the board such advertising and public auction will result in leasing of the land on terms advantageous to the state.