Preheat oven to 450° and toss garlic and shallots in oil in a casserole. Place in oven for 15 minutes. Meanwhile, cook the carrots and potatoes in a large pot of boiling water for 5 minutes. Drain well.
Toss all remaining ingredients, including the carrots and potatoes, in the casserole mixing until the vegetables are evenly coated. Bake for 15-20 minutes more, until the vegetables are tender. Serve immediately.
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