Should I Remove the Laptop Battery For A Desktop Replacement Laptop?

I have a laptop at home which I use as a desktop replacement. As such, 99% of the time the laptop is being used it is plugged in. I wonder if I should remove the battery so that it is not permanently being charged, or does the laptop cut off the current to the battery once it is fully charged? I do unplug the laptop when I turn it off.
A.
When using a laptop as a desktop replacement the battery should not be left in for long periods of time. The laptop will over time discharge the battery. Remove the battery – making sure that it is charged to 40% and store it in a dry, warm place. Ensure that it is wrapped protectively and nothing will be dropped on it.
The battery should be re-installed every 3-4 weeks and allowed to fully discharge. Leaving a battery in storage for longer than this without using could cause the battery to fully discharge as the circuitry of the battery itself consumes power.
Leaving a battery in a laptop while using an electrical outlet for long periods of time will keep the battery in a constant state of charging up and that will reduce the life cycle of the battery.
Remember that when you have removed the battery from a laptop while using with an electrical outlet – the automatic battery backup is no longer functional. Make sure to plug your laptop into an uninterrupted power source (UPS) not directly into an outlet or surge protector.