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1
Preheat the oven to 400 degrees F.
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2
In a large bowl, combine the sweet potatoes, rosemary, 2 teaspoons of oil, salt and black pepper. Transfer to a rimmed baking sheet and bake until tender, 25 to 30 minutes.
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3
Meanwhile, in a large skillet over medium heat, warm 2 teaspoons of oil. Add the onion, bell pepper, garlic and a pinch of salt and cook, stirring occasionally, until the onion and bell pepper are tender, about 5 minutes. Add the mushrooms and thyme and cook, stirring occasionally, until the mushrooms begin to soften, 3 to 4 minutes. Transfer the vegetable mixture to a large bowl, cover to keep warm and set aside.
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4
Return the skillet to medium heat. Add the sausage and cook, breaking it up with a spoon or spatula, until no longer pink, about 4 minutes. Cook without stirring until browned on the bottom, about 2 minutes. Gently turn the sausage and cook without stirring until the other side is brown, about 2 minutes. Add the sausage to the bowl with the vegetable mixture, cover to keep warm and set aside.
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5
Add the sweet potatoes to the bowl with the vegetable mixture, cover to keep warm and set aside.
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6
Wipe out the skillet and use it to cook the eggs as desired, adding salt and pepper to taste.
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7
Arrange the sausage mixture on plates, top with the cheese and eggs and serve.
