For most nonspecific low back pain, two months is enough time to recover and return to your full schedule of activities. Research supports staying active and working through back pain. For back problems that don't go away with this approach, early diagnosis and treatment is advised.
Back pain that travels down the leg is called sciatica. This is a sign that something is impinging or pressing on one of the five spinal nerves that form the sciatic nerve. It could be a bulging or herniated disc, bone spur, or tumor. An MRI is needed to sort out the actual cause.
Whenever possible, doctors try to help patients avoid developing chronic pain. That's usually defined as pain that lasts more than three months. You are approaching that time frame now. Getting a medical exam now would be a good idea to help prevent becoming a chronic pain patient and to move along in your rehab process.