Chris Bryant wrote:
The 44 was based on 90% efficiency with a 4 amp 120 volt draw- a common ROT estimate of 11 to 1.
The problem is that the OP was claiming about 5 hours out of 105 AH battery. I understand your calculation (I use similar) but the OP wasn't close with his 4 amp estimate for usage. That why I use a clamp-meter to check negative flow out of the battery for an hourly estimate on total use.
Also; a 44 amp draw on one 105AH (when new) 12 volt would have a good size voltage drop while running. Low voltage from the inverter is based on voltage reading "under load" meaning the inverter cutoff could come before the battery even reached 50%soc. His battery is a few years old.