Two publications of the resolution provided in section 58-16-01 in a paper printed or published in the unincorporated townsite are sufficient notice to the owner of the land along which the sidewalk is to be built to construct the same. If no newspaper is published in the unincorporated townsite, the resolution must be published in a newspaper in the municipality nearest to the unincorporated townsite. If the owner fails to construct a fully completed sidewalk within thirty days after the last publication of the resolution, the board of township supervisors shall cause such portion of the sidewalk as has not been built by the owners of the lands to be built at the expense of the owners upon contract or in such manner as the board may determine.