I think that I read that it starts from the date released. I have one of these also, and if you can come up with a way to get rid of it please let me know..
7 years from the date paid. You can get it removed with a lot of legwork and a little bit of luck. Problem with this like any other judgment or public record is sometimes you can get it off 1 or 2 reports but not all 3. Sometimes you get lucky. With 4 more years to run it might be worth trying.
The method I used is to contact the state comptroller and work to get a filed in error letter. Wait a month or more. After the filed in error you have to dispute with the CRA's who will verify with the local county clerk that it the lien was filed in error. If it's pretty old they may work with you. The trick is to get someone specific on the line. Get there name and work to down home accent. My situation is a bit unique in that I had a small business in 2001 when my reserve unit was sent to Afghanistan. I did not report $0 in my sales tax report. So the comptroller guessed how much my business should have been making. I was a little busy so when I got the letter showing that I had a lien I turned around and sent payment. I then forgot about it. That's my story on state tax liens.