Yes, but when it is not detectable in your body anymore, you never know if it really cleared or went dormant, so you still have to get checked. If it's dormant, then it is basically waiting for an opportunity and can become active again, starting cellular changes again when your immune system is suppressed (for example due to pregnancy or vaginal dysbiosis).

There are some studies that say estrogen and lactobacilli might be involved in the process, but there is no consensus as high levels of estrogen seem to reactivate the virus but estrogen also promotes lactobacilli which slows down the progression of the disease.