Peradventure have you ever had a cold virus? Probably did you get rid of the cold? Certainly you did! You can not cure an acute rhinitis directly, yet your system generally develops resistance to any cold virus within a couple of days. We call that being cured by your personal immune response!

HPV is similar since human papilloma virus is simply an additional virus. And you will quite simply establish immunity to HPV. However, human papilloma virus is better at concealing from your immunity compared to the common cold infections. Moreover you need to persist harder to develop resistance to HPV virus.
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