Instructions:
For Moules (Mussels):
In a large pot, melt the butter over medium heat. Add the chopped onion, garlic, celery, and carrot. Cook until the vegetables are softened, about 5 minutes.
Pour in the white wine and vegetable or fish broth. Bring the mixture to a simmer.
Add the cleaned mussels to the pot. Cover with a lid and cook for about 5-7 minutes or until the mussels open. Discard any mussels that do not open.
Season the broth with salt and pepper to taste. Stir in chopped fresh parsley.
Divide the mussels and the broth into two serving bowls.
For Frites (Fries):
Rinse the cut potatoes in cold water to remove excess starch. Pat them dry with a kitchen towel.
In a deep fryer or large pot, heat the vegetable oil to 325°F (163°C).
Carefully lower the potato strips into the hot oil, frying in batches. Fry until they are golden brown and crispy, about 3-4 minutes per batch. Remove with a slotted spoon and place them on a paper towel-lined plate to drain excess oil.
Once all the fries are cooked, increase the oil temperature to 375°F (190°C).
Fry the batches again for about 2 minutes, or until the fries are crisp and golden. Remove and drain on a fresh paper towel.
Serve:
Divide the crispy fries between two plates and place them next to the bowls of mussels. Garnish the mussels with additional fresh parsley. Serve the Moules-frites with a side of mayonnaise or your favorite dipping sauce.