I have been going through this process for over 15 years. Back then, they didn't even test for hpv because they didn't realize it was responsible for the abnormal cells.
As far as I know, there is no way to "rid" your body of the virus. There is trial work being done on using the vaccine as a treatment for older women (over 26) who don't qualify for preventative care. You can ask your Doctor about that option.
Like many of the other respondents, I had a LEEP performed and was clear for 5 years. It has now been back for several years. There is nothing to do but what you are doing. Don't miss a pap exam, and use protection during sex if you are not in a committed relationship. You can give it to your partner, and they pass it on, just like other stuff. Which is how you got hpv, too. NOT necessarily from your current partner, but from a partner. The virus can be dormant for several years before becoming active.
The coloposcopies are the middle stage between abnormal pap and surgical procedures. Your doctor uses the colpo. to determine if the cells need to be removed.
If she thought they needed to be removed she would do it. Your Dr is not going to mess around with Precancerous cells if they are progressing.
There is a 50% chance that they will go back to normal, or slightly abnormal, and you won't need the procedure. There is also a 50% chance that they will become more abnormal and need to be removed. (These number were given to me almost 10 years ago when I had the LEEP)
YOu may want to ask your Dr for an additional consultation to really understand what is happening in your body. We are all well-meaning here on mamapedia, but we aren't doctors.