When people say that the body can clear an hpv infection in two years, do they mean that the hpv virus will be entirely eliminated within two years?

Usually yes: This depends on what you mean by "entirely eliminated". The immune system generally clears HPV to a point at which it does not recur to cause active disease (e.g. warts, abnormal pap smear). But the virus's DNA may persist in tissue for many years and reactivate in the future. But in most people, the infection is gone forever and does not reactivate.

Not Always: Although most HPV infections resolve completely in 2 yearsBut some high risk infections persists can lead to genital warts or intraepithelial lesions of the lower genital tract in women,leading to cancer.The riak factors for persistent infection incluse multiple sexual partners,sex at early age,history of STDs and Smoking.Condom use is only patially protective.The disease is preventable BY Vaccine