Neopets treats the ABer like a separate browser... and you're only supposed to use one... so yeah, it's normal for one to get logged out.
It's still strongly suggested you not browse at all while a program is running on your account.
That's kind of the problem. I just have it running and I ment that I just leave the computer.. as in .. cleaning the house or something like that. If I return then I've been logged out and the program is still running. Happens over and over again.
But I guess I shouldn't even browse within Neopets while having the AB-er running? As in doing Dice-a-Roo or something? Not that I do that but just wondering..