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1
Preheat the oven to 375u00b0F. Season the oxtails with salt and pepper.
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2
Set a large saute pan over medium-high heat and pour in 2 tablespoons of the canola oil. Put the oxtails in the hot oil and cook until they are browned on one side, about 5 minutes. Flip them and get some color on the other side, about 5 minutes. Place the browned oxtails in a Dutch oven.
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3
Drain the fat from the saute pan. Pour in the remaining 2 tablespoons of canola oil. Add the onion, celery, carrot, and garlic and cook, stirring occasionally, until they have browned and softened, 10 to 15 minutes. Toss in the sprigs of rosemary and thyme and cook until they are fragrant.
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4
Pour in the wine to deglaze the pan, scraping up the goodness from the bottom. Cook until the wine is reduced by three-quarters of its volume, 7 to 8 minutes. Pour in the chicken stock. Bring to a boil, then reduce the heat to low and simmer for about 5 minutes. Pour the braising liquid over the oxtail in the Dutch oven. Cover the Dutch oven and slide it into the oven. Braise until the meat starts to fall of the bone, 2 to 2 1/2 hours. Taste a piece of the meat. Do you want more? You're done.
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5
Bring a large pot of salted water to a boil. Toss in the fettuccine and cook until it is a little less than al dente so that it will hold its shape. (Gluten-free pasta usually takes less time to cook than you think, especially when you are going by the manufacturer's directions on the box.)
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6
Remove the oxtails from the sauce and set them aside. Strain the sauce into a large saucepan. Put the saucepan over medium heat and begin reducing the liquid.
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7
Meanwhile, slice the parsnips into small coins, starting from the thin end. When you reach halfway up the parsnip, slice it in half lengthwise. Continue cutting coins from the parsnip, the same size as those from the first half.
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8
Set a small saute pan over medium-high heat and pour in the olive oil. Toss in the mushrooms and cook, stirring, until softened and wilted. Throw in the parsnips and cook, stirring occasionally, until the mushrooms are browned and the parsnips are softened, 5 to 6 minutes. Toss in the shallots and cook, stirring, until they are softened, about 5 minutes. Add the chopped rosemary and cook until it is fragrant.
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9
Spoon the sauteed vegetables into the stock in the saucepan. Bring to a boil, then reduce the heat to low and simmer the sauce until it has thickened, 4 to 5 minutes. Stir in the butter until it is incorporated into the sauce.
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10
Add the cooked pasta to the sauce. Pick the meat off the oxtails and drop it into the sauce. Taste the sauce and season it with salt and pepper.
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11
To serve, spoon the pasta into large bowls and grate the Parmesan cheese over the top.
