If the board of appraisers of a sanitary district finds that lands or other property not embraced within the boundaries of the district will be affected by the proposed improvement, or should be included in the district, it shall appraise the benefits and damages to such land or other property, and shall file notice in the court of the appraisal which it has made upon the lands or other property beyond the boundaries of the district, and to the land or other property which in its opinion should be included in the district. The board shall also report to the court any lands or other property which in its opinion should be eliminated from the district.