Omg i have the same thing it hurts so much
You should see your doctor and get tested for mono. I had similar symptoms a few years ago (a sore throat lasting a long time with no other symptoms) and a blood test confirmed that I actually had mono. If you are also noticing that you're tired this may be another sign. My doctor told me at the time that mono can actually present with an extended sore throat and no other symptoms, not even drowsiness in my case.
For me, it lasted almost a month before it started to go away, and it was incredibly painful, to the point where it made it difficult for me to swallow food.
You need to see your doctor.