Heat the oil in a pot over medium heat. Add the onion, carrots, celery, salt, and several grinds of black pepper, and cook, stirring occasionally, for 8 minutes, until the vegetables begin to soften.
Add the garlic, tomatoes, beans, green beans, broth, bay leaves, oregano, and thyme. Cover and simmer for 20 minutes.
Stir in the pasta and cook, uncovered, for 10 more minutes, until the pasta is cooked through.
Season to taste and serve with parsley, red pepper flakes, and parmesan, if desired.
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