Heat olive oil in a large pot and sauté onion, garlic, and celery until softened.
Add chopped carrots and cook for 3–4 minutes.
Stir in chopped collard greens and cook until slightly wilted.
Pour in vegetable broth and bring to a boil.
Reduce heat and simmer for 25–30 minutes until the vegetables are tender.
Season with salt, black pepper, smoked paprika, and thyme.
Serve hot with cornbread or crusty bread.