Possibly have you a while ago been down with a cold? Conceivably did you do away with the issue? Naturally you recovered! You will not cure a cold itself, but your body normally establishes resistance to a specific cold virus within several weeks. That is called being cured by your own immune system!

HPV virus is comparable because human papilloma virus is simply an additional virus. Therefore you will generally develop resistance to HPV. However, HPV virus is better at evading your body's immune system compared to the cold virus infections. So you have to try with more diligence to get resistance to HPV virus.
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