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Start with cooking the onion. Head the olive oil in a medium sized pot over medium heat. Add the onion and cook until soft, this will take about 4 minutes.
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Add the beef and season with the garlic, salt, and pepper. Use a wooden spoon to incorporate the garlic, salt, and pepper into the beef, and to break the beef up into small pieces.
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After about 5 minutes the beef should be almost fully cooked. Stir in the crushed tomatoes, tomato paste, and cheese. Bring to a slow simmer, and let simmer and reduce for 20 minutes.
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Serve with your favorite pasta.