My MacBook Pro Battery Cycle Count

Hello, I have a 2011 13" MacBook Pro and under System Information my battery cycle count reads 1237. Apple's documentation says that the max cycle count for this notebook is 1000. These days I almost always keep it plugged in and connected to a cinema display, with the notebook's display itself turned off. The edges of the MacBook's display are slightly discolored or washed-out sometimes, but other than that it seems to run fine. Should I not keep using it this way with the battery count where it is? The battery life isn't horrible, maybe 5 hours tops at this point if I'm not doing anything intensive. I run the battery down to 50% once or twice a month then just keep it plugged in the rest of the time since I have a new MacBook Pro. Any advice would be appreciated, thanks.