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Sauté the Aromatics: In a large pot, heat the olive oil over medium heat. Add the chopped onion and sauté until softened, about 5 minutes. Stir in the minced garlic and cook for an additional minute until fragrant.
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Add Tomatoes and Broth: Pour in the crushed tomatoes and vegetable or chicken broth. Stir well to combine.
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Season the Soup: Add the dried basil, dried oregano, sugar (if using), salt, and pepper. Bring the mixture to a simmer and let it cook for about 20-25 minutes, stirring occasionally.
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Blend (Optional): If you prefer a smoother soup, use an immersion blender to puree the soup to your desired consistency. If using a regular blender, let the soup cool slightly before blending in batches.
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Finish the Soup: Stir in the heavy cream if you want a creamier texture. Adjust seasoning as needed and keep warm on low heat.