In a large heavy duty saucepot, heat olive oil over medium heat. Add onions, carrots and garlic. Cook vegetables 10 minutes stirring often. Add herbs and tomato paste and cook for five to six minutes (This helps to caramelize the tomato paste resulting in a sweeter tomato sauce). Add remaining tomato products and the water. Turn heat to low (very low). Allow sauce to cook for 3 1 /2 hours, stirring often. Add vinegar.
Yield: approximately three quarts.
Sauce is best after two or three days in the refrigerator. Sauce freezes well.