In addition, if any person shall have been convicted of a violation of this chapter under Subsection
34-17.18 hereof because of a violation of Subsection
34-17.19b and the sign or signs shall continue as violations despite said convictions, then upon the expiration of the time for appeal as provided by law, if no appeal has been taken, or upon affirmation of the conviction by the Superior Court, if an appeal has been taken, such sign no longer advertising a bona fide business conducted or a product sold on the premises shall be taken down and removed by the owner, agent or person having the beneficial use of the premises upon which such sign may be erected within 10 days after further written notifications from the Construction Official, and, upon failure to comply with such notice within the time specified in such order, the Construction Official shall have the power to remove the sign or cause the same to be removed without further notice, but at the expense of the owner of the premises. Any expense incurred in connection with such removal shall become a lien on the premises in the manner prescribed by law.