1. In a large pot, cook the potatoes, celery, and carrots in the chicken broth until tender.
2. Mash the vegetables coarsely with a potato masher or a fork. Add the processed cheese and stir over medium heat until melted.
3. Add the milk and stir again. Do not let mixture boil! Add the seasonings and adjust if necessary.
4. Just before serving, garnish with the parsley and green onions.
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