Sounds like you're batteries are toast or you have the battery disconnect in the "store" position & not being charged while connected to shore power.
If you have 13+ volts when connected to shore power I'd say your converter is working as it should.
Have you checked water levels in your batteries? If plugged in continuously they should be checked/topped off with distilled water regularly.
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Full-timed 10+ years
Sold '13 Redwood FB
Traded '13 GMC Denali DRW D/A
Replacement undetermined
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