Peradventure have you ever before suffered through acute rhinitis? Probably did you get rid of the cold? Naturally you survived it! You can't heal a common cold itself, yet your body normally establishes resistance to any type of cold infection within a few days. We call that being cured by your very own immune system!

HPV virus is identical since HPV is just one more virus. And you could most likely create immunity to HPV. However, HPV virus is more adept at hiding from your immunity compared to the cold virus infections. Moreover you need to try harder to get resistance to human papilloma virus.
https://b3.zcubes.com/v.aspx?mid=6935821&title=can-you-cure-hpv