And definitely you will possibly acquire an additional cold virus, because there exist 300 different runny nose infections. However you will never get the same cold infection that you had before because you have established resistance to it.

Human papilloma virus is identical in that human papilloma virus is simply another viral infection. And you can simply establish resistance to human papilloma virus. Nonetheless, HPV is better at hiding from your immunity compared to the cold infections. So you have to persist harder to develop immunity to HPV virus.
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