After a petition is filed with the Board of Water and Natural Resources, the board shall publish a notice of a hearing to consider the petition. The publication shall be once a week for two consecutive weeks in at least one official newspaper in each county where any portion of the proposed district will lie. The second publication may not be more than thirty nor less than twenty days before the hearing. The notice shall inform landowners of their right to inclusion or exclusion of their lands in the proposed district pursuant to §§ 46A-4-8 and