The minimum sale price of the swamp and overflowed lands is one dollar and twenty-five cents ($1.25) per acre, and the land commissioner may sell them at that price unless the governor and land commissioner deem any of said lands to be worth more than said sum, in which event it will be their duty to fix the price of such of said lands at what they shall believe the interest of the state to require. When the price has been so fixed, it shall be entered of record on the register containing the list of such lands for sale, and shall not be reduced within two (2) years thereafter nor sold at any other price, until changed in like manner.