Warts are caused by the HPV virus. Several factors are to be considered in terms of viral transmission. The person's immune response plays an important role here. Viral load, exposed areas and the frequency of exposure are to be considered. Some HPV infections may manifest 2 to 9 months after exposure.
Warts are transmitted through direct skin to skin contact. So for as long as the lesions (allow me to call them lesions) are still present , then it is important that any exposure and direct contact to the affected areas be avoided.