Vegetable Noodle Soup

Name: Vegetable Noodle Soup
Ingredients: 2 tablespoons cooking oil; 2 onions, chopped; 3 carrots, halved lengthwise and cut crosswise into 1/2-inch slices; 2 ribs celery, cut into 1/2-inch slices; 1 1/2 quarts canned low-sodium chicken broth or homemade stock; 1 3/4 cups canned diced tomatoes with their juice (one 15-ounce can); 1 tablespoon tomato paste; 1/2 pound potatoes, peeled and cut into 1/2-inch dice; 1/2 pound green beans, halved; 1 1/4 teaspoons salt; 3 ounces fine egg noodles (about 1 cup); 1/3 cup chopped fresh parsley