The batteries that apple uses in the MBPs have a life cycle charge count. So basically after so many full discharge and recharge cycles, the battery will go. I have left mine plugged in when power is near for years, with no noticeable effect on the life of the battery when unplugged.
That said, I don't recall how many charge / discharge cycles you can get from the battery, but the info is out there for each generation of MBP...and you can see how many is counted on your system by clicking the Apple icon in top left corner, then Clicking About This Mac, then clicking the More Info button on the window that comes up...look for the battery info in the left panel, then read through the info in the main window...
Leave it on the power cord and the power used will come straight from the outlet versus going through the battery and wearing the life down so when you really need battery away from an outlet it will be accessible