(b) When a proposed amendment to the zoning ordinance involves a change in the zoning map classification of any parcel of land, or a change to the applicable zoning ordinance text regulations that changes the allowed dwelling unit density of any parcel of land, the governing body shall, at least thirty days prior to the enactment of the proposed amendment if there is not an election, or at least thirty days prior to an election on the proposed amendment to the zoning ordinance:
(1) Give written notice by certified mail to the landowner(s) whose property is directly involved in the proposed amendment to the zoning ordinance; and
(2) Publish notice of the proposed amendment to the zoning ordinance in a local newspaper of general circulation in the area affected by the zoning ordinance, as a Class II-0 legal advertisement, in accordance with the provisions of article three, chapter fifty-nine of this code.