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1
-Place a large, deep, non-stick pan (or even medium non-stick pot) over medium-high heat, and add in about 1 tablespoon of oil; once the oil is hot, add in the smoked sausage medallions, and caramelize them for a few minutes until they become a deep brown color; remove the sausage from the pan with a slotted spoon, and set aside.
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2
-To the same pan or pot, add in the butter, and allow it to melt; add in the sliced onions, and caramelize those in the butter and sausage drippings until a rich, golden-brown, about 5-7 minutes; next, add in the garlic, plus a couple of pinches of salt, the freshly cracked black pepper and the paprika, and stir to combine with the onions; saute just until the garlic becomes aromatic.
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3
-Next, add in the sliced potatoes, and fold them into the caramelized onions/garlic to coat them well; add in the chicken stock and stir to combine, then push the sliced potatoes down into the stock/onion mixture as much as possible to allow them to cook evenly; cover the pan/pot with a lid that is askew to allow some steam to escape, and simmer on medium-low heat for about 15 minutes, stirring gently once or twice during this time; then, uncover the pan/pot and allow the potatoes to continue to simmer for another 10 minutes, or until they are tender and the sauce a bit thickened, stirring once or twice during that time.
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4
(Its perfectly fine for some of the potatoes to break up in the sauce as it helps to thicken it, just take care not to break them too much.
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5
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6
-Finish the Goulash by adding the caramelized smoked sausage back into the pan/pot, as well as the parsley, and gently fold those in to incorporate; add a little drizzle of olive oil in, and add a couple more pinches of salt and pepper, if necessary; serve hot with bread, if desired.