Heat butter and oil in a Dutch oven over medium heat until the butter melts. Add onion and celery; cook, stirring occasionally, until softened, 4 to 6 minutes. Add garlic and thyme (or parsley); cook, stirring, until fragrant, about 10 seconds.Advertisement
Stir in canned tomatoes (with juice). Add broth; bring to a lively simmer over high heat. Reduce heat to maintain a lively simmer and cook for 10 minutes.
Puree the soup in the pot using an immersion blender or in batches in a blender. (Use caution when pureeing hot liquids.) Stir in half-and-half (if using), salt and pepper.
To make ahead: Cover and refrigerate for up to 4 days or freeze for up to 3 months.
Ingredient Note: Chicken-flavored broth, a vegetarian broth despite its name, is preferable to vegetable broth in some recipes for its hearty, rich flavor. Sometimes called “no-chicken” broth, it can be found with the soups in the natural-foods section of most supermarkets.
1 1/2 vegetable, 1/2 fat