Yes, Brad, you have an inverter/charger, as Richard describes. That's the "default" for most installations (bus conversions, service vehicles, specialty vehicles like mobile classrooms or bloodmobiles, etc.). But some people prefer to have a separate charger for specific control of the charging; other people prefer to use models of inverters (brands like some models of AIMS, or Power Jack, for instance) that don't have chargers as part of their design.
You and I - and probably most other people that we'd meet at a bus rally - have inverter/chargers but; when we're talking about specifics of systems, it's probably good to remember that system types vary and a few people have systems that don't involve an inverter/charger, so when we're talking about those, their charging setup will be different.
I have a 2kW "Outback" inverter/charger that has very good control of house battery charging; there is a separate control module that allows a flexible range of settings. That part is really good, some of the other design characteristics and features of the inverter, I'm not so crazy about.
Thanks to Richard and you. I assumed that all inverters were also chargers.