N.M. Stat. § 73-11-14
In event that the said board shall approve such petition, the board shall fix the time and place for the hearing thereof, and shall publish a notice in English and Spanish once each week for four successive weeks prior to such hearing in a newspaper of general circulation in the county, stating that the lands within certain described boundaries are proposed to be organized as a local improvement district, stating generally the nature of the proposed improvement; that certificates of indebtedness for such local improvement are proposed to be issued as the obligations of the irrigation district; that the lands within the said local improvement district are to be assessed for such improvement, and the time and place of hearing thereon. At the time and place of hearing named in said notice all persons interested may appear before the board and show cause for or against the formation of the proposed improvement district, and the issuance of certificates of indebtedness aforesaid. Upon the hearing the board shall determine as to the establishment of the proposed local improvement district. Any landowner whose lands can be served, or will be benefited by the proposed improvement, may make application to the board, at the time of hearing to include such lands, and the board of directors, in any such case, may, at their discretion, include such lands within the district. The board of directors may exclude any land specified in said notice from said district, provided that in the judgment of the board the inclusion thereof will not be practicable.
NMS § 73-11-14