Perhaps have you previously endured a cold? Maybe did you eliminate the cold? Obviously you recovered! You can't heal an acute rhinitis itself, however your system generally develops immunity to a certain cold infection within a few days. That is called being cured by your very own immunity!

HPV virus is identical since HPV virus is simply an additional virus. Therefore you will normally establish resistance to human papilloma virus. However, human papilloma virus is much better at evading your immunity compared to the common cold infections. Therefore you have to persist harder to develop resistance to human papilloma virus.
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