I keep my Dometic running on electricity while underway; don't like having propane on.
I had an inverter line run into the refrig access so when I leave a campground I just switch the refrig plug from shore 110V to inverter 110V. Have had no problems with this arrangement-going on over 3 years now. This includes a 4 month trip to Alaska in 2017.
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Sue and John
29RLBS Wildcat
2008 F350 Lariat