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Heat oven to 180C/160C fan/gas 4. Zap the sweet potato wedges in the microwave for about 6 mins on full power until just turning soft. Leave to rest for 30 secs.
While the sweet potato is spinning in the microwave, mix the mince in a bowl with the onion, garlic, egg and apple. Get your hands stuck in and work the ingredients together with a good pinch of salt and pepper, the oregano and paprika. Shape the mixture into two burgers about 3cm thick. Place on a lined baking tray in the oven for 20-25 mins, turning half way through cooking, until cooked through.
Heat the coconut oil in a large frying pan over a high heat. Add the sweet potato wedges and shallow-fry for about 3 mins each side until they are nicely browned all over and cooked through to the centre. (Alternatively, toss in the oil and roast in the oven for 15-20 mins.) Drain on kitchen paper, then season with a good pinch of salt.
Serve the burgers with the sweet potato wedges and a portion of green veg either steamed, blanched or boiled.