Just remember that leaving the battery connected while in standby you will continue to see parasitic drains from your RV unit. Alot of small things are still pulling power from the battery. In my case I see 1-2AMPS...
Having the solar panels connected helps alot keeping the battery topped off. Typically a 120WATT Solar Panel will only produce around 5-6AMPS DC Current while in the high sun. In order to keep the batteries topped off the solar panel has to produce more DC current than your parasitic drains are pulling.
Also keep in mind the solar panels only work good in high sun. In my case here on the East coast side I can only see around 5-6 hours of high sun. Out West you can see more sun obviously...