I keep getting logged out. My accounts disappear from the device.

To prevent accounts from being deleted, the workaround is to install the lite version alongside the pro version. You don't have to use the lite version, just keep it installed.

It is an Android bug affecting paid apps of many developers: https://code.google.com/p/android/issues/detail?id=34880

It is up to the phone manufacturer to release a proper fix. Samsung, LG G3, and a small number of other devices are affected.