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Clean and cut broccoli into florets, place in a zip seal bag.
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Add the olive oil, salt, pepper, and garlic, seal and shake.
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Place a baking sheet and roast in a pre-heated 400° for about 30 minutes, but begin checking and watching it after 20 minutes.
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Bring a pot of water to boil, salt it and cook the pasta according to package directions.
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In a large pan or skillet, add the olive oil and sauté the onions for 2-3 minutes or until they begin to soften.
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Remove the casings from the sausage and crumble into the cooking onions; cook about 5 minutes or until the sausage is cooked through.
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Once the pasta is done, add it by spoonfuls, mostly drained, but with water still clinging to it to the sausage, mix well.
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Add 1/4 of the cheese, mix well.
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If needed, add some pasta water, 1/8 of a cup at a time, then add the remaining cheese.
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If the pan will accommodate, stir in the roasted broccoli, if not, transfer for a large bowl and toss the pasta, sausage, and broccoli together.
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Taste, add salt and pepper as needed for taste, add red pepper flakes if using.
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Serve and enjoy