It depends on how bad they are. My guess would be $300-$500 depending on the detailer. As mentioned above you can attempt to do it yourself for a lot less. You likely won't have the same results but you can certainly make the paint look better and hide the lines at certain angles.
I just did this recently. I used the standard compound from Griot's and wish I had used this. Possibly would have seen better results.
BOSS™ Fast Correcting Cream
- Griot's Garage
The main thing is to work in small areas and go over it a few times. The PREP work is the most important though. Clay bar, etc...
You can then choose to use a Carnuba wax or one of the synthetic offerings.