By any chance have you once had acute rhinitis? Peradventure did you get rid of the virus? Obviously you got over it! You can't heal an acute rhinitis directly, yet your immune system typically develops immunity to any cold virus within a couple of weeks. That is called cured by your very own immune response!

HPV virus is the same because HPV virus is just one more viral infection. Therefore you can simply create immunity to human papilloma virus. Nevertheless, HPV is better at hiding from your body's immune system than are the cold infections. Moreover you need to try harder to obtain immunity to HPV virus.
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