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Cook the potatoes in a saucepan of boiling salted water for 20 minutes. Drain thoroughly. Return the potatoes to the clean pan and mash them.
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Preheat a frying pan over low heat.
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Tip the hot mashed potatoes into a bowl. Add the flour, olive oil and chives. Season to taste with salt and pepper. Blend to make a soft dough.
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Roll out the dough on a well floured surface to ¼ inch thick.
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Cut into 2-inch circles, re-rolling and cutting the trimmings.
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Cook the scones, in batches, on the frying pan for about 10 minutes until they are golden brown.