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Keep in mind that your typical RV refrigerator capable of running on AC or propane, and possibly DC, will run much less efficiently on electric power than a standard electric refrigerator. That might make them less-than-ideal for a solar + battery configuration. In an RV context one typically uses the electric mode only when connected to "shore power", where the lower efficiency is less of an issue.

Propane-based refrigerators use an absorption cycle which depends on heat produced by burning the propane; in electric mode they just substitute resistive heating. A pure electric refrigerator would use a compressor-driven heat pump, which is considerably more efficient.