Perchance have you heretofore had a runny nose? By chance did you heal from the virus? Obviously you recovered! You can't heal an acute rhinitis directly, but your immune system usually creates immunity to any cold infection within a few weeks. We call that healed by your own immunity!

HPV virus is similar in that human papilloma virus is just an additional viral infection. Therefore you can quite simply create immunity to human papilloma virus. Nonetheless, human papilloma virus is better at evading your body's immune system than are the rhinitis infections. So you need to persist a little harder to acquire resistance to human papilloma virus.
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