Is it true that the molluscum contagiosum virus can stay in body for a year even after all lesions are completely gone? If so can it still be transmit

See below.
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No. Molluscum is on skin only. Once the lesions are removed it does not recur. All the lesions need to be removed either by liquid nitrogen, Aldara (imiquimod) or curetting off. If removed , it may require 2-3 sessions because there are small molluscum lesions that are not visible at first. They surface in 3-4 weeks. Molluscumrx is an herbal which can be used at home.