You have 440 Ah, only 220 Ah are usable.
2 - 3 hours is probably not long enough to fully charge your batteries.
I suspect your inverter is reading DC volts and AC amps, 5 AC amps is 50+ DC amps, or 4 hours of use from your available 220 Ah ay that rate/ At the 2 amp AC (20+ DC amp) rate you would have 10 hours.
With the unknown solar input in the mix you really need a good battery monitoring system to keep track of current in and current out so you have a better idea of the real SOC of your batteries.
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Ted & Melinda
2016 ACE 27.1
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