Possibly have you ever had a cold? Probably did you do away with the infection? Obviously you survived it! You won't cure a cold directly, however your immune system generally establishes resistance to a particular cold virus within a couple of days. We call that being cured by your own immune response!

HPV virus is comparable because HPV is just another viral infection. Therefore you can most likely create immunity to human papilloma virus. Nevertheless, HPV is much better at concealing from your immune system compared to the cold virus infections. Therefore you need to work a little harder to get resistance to HPV.
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