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Your furnace uses about 12A DC from the batteries. If you have FLA (lead acid) batteries they are only usable to about 50% before doing damage to them (shortening their life).
So if you have two 100Ah FLA batteries (200Ah) only 100Ah is usable.
Drawing 12A for the furnace plus other draws let's say 16A total, your batteries should last about 6 hours from fully charged to dead.
If you don't have a battery monitor, you can use a multimeter to tell what state your batteries are.
If you don't have a multimeter you can look at the battery voltage on your Level-up control panel.
Your hydraulic system needs the batteries to operate. It draws about 80A when running the hydraulic pump. Your converter cannot put out enough power to run the hydraulic system. Your batteries are able to supply this extra current.
BTW where are you dry camping at on Missouri?
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