I'm glad you have seen a doctor about it and they are helping you. I would take their word for it and that you only worry if they say to. I understand though wondering why it is there if it is supposed to go away before now. I hope that it being there isn't what has stopped you from having sex. Don't let it. That it was pink and now purple, purple is the more common color for lichen planus. So, that isn't actually too concerning.
I think when you have it and for such a long time, it might be a good idea to get a general physical to see if there is an underlying trigger. Personally I have never read that it has a time line of 2 years. Ask your doctor about that. Other things to consider are if you have been exposed to Hep C, if you get the flu shot, if you use nsaids like ibuprofen, if you react to certain things.
I'm sure it is frustrating. When was your last physical?