If the offending vessel is not seized within one year after the cause of action created under this Sub-part against it has arisen, the lien and privilege shall perempt, and thereafter no proceedings shall lie to enforce it; provided that the offending vessel is within the territorial jurisdiction of the State of Louisiana continuously during the ten consecutive calendar days immediately preceding the termination of the said one year period; otherwise, the lien and privilege and the proceedings to enforce it shall continue and remain in full force and effect after the termination of the one year period until the offending vessel thereafter will be continuously within the territorial jurisdiction of the State of Louisiana for ten consecutive calendar days, or for a period aggregating thirty non-consecutive calendar days, whichever will occur first, but thereafter the lien and privilege hereby created shall perempt and no further proceedings shall lie to enforce it.