Using batteries while charging with solar panels
I recently purchased an inverter, solar panels, and solar panel charge controller. My (hopefully not too silly) question is can I use my coach batteries to run the coach WHILE the solar panels are charging the batteries? The reason I ask is that I see statements online that say you can't use a battery while charging the battery (makes sense to me) but I can't imagine that people turn everything off when they are recharging batteries throughout the day using their solar panels. Does the solar charge controller sort things out?
Related question - can I use the inverter off of a battery bank while I am charging the batteries using solar?
Thanks for any advice. I have used the inverter successfully, but have not hooked up the solar system yet.