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@bugsymike has suggested the brown, blue, and green/yellow are 230V live, neutral, and earth respectively. They need to be connected to the 230V mains distribution unit, either via a connection unit, or a dedicated plug and socket, which would make any future removal for servicing much simpler than a connection unit.
The red and white are the 12V fridge element supply, and should be connected to a fridge designated D+ controlled 12V output on the 12V distribution board. Fuse should be 20A maximum, and cables should be generous, say 4 sq mm. This element corresponds to the "12V" selection on a manual 3 way fridge, and the D+ control ensures that it is only supplied when the engine is running. (D+ was historically a connection to the alternator field which only becomes live when the engine (alternator) is running. On x250 Ducatos, the control signal may be obtained from a special connection panel at the base of the RHS B pillar. There are is at least one other method in use.
The violet and black are usually the permanent 12V control supply (violet +ve) for the fridge control electronics. This supply must be available 24/7 when the fridge is in use. Usually obtained from another dedicated output on the 12V distribution board, and should remain live even if the board is switched off. This supply is used for ignition when the fridge is running on gas, and for general control.
On my Dometic RM7361 fridge, I think (subject to checking) that all three cables are extensions from terminal blocks on top of the fridge, which are inaccessible when fridge is fitted in the vehicle.
The fridge is probably of Dometic manufacture. An internet search quoting the make and model number, should lead to a downloadable manual.