Melt the butter with olive oil in a large pot over medium heat.
Add the chopped onion, carrots, celery, and minced garlic.
Cook for 7-8 minutes until the vegetables are softened.
Pour in the chicken broth and add the bay leaves.
Stir and increase the heat to bring the soup to a boil.
Once boiling, reduce the heat to a simmer.
Add salt and pepper to taste.
Simmer for about 15 minutes to develop flavors.
Stir in the shredded chicken and egg noodles.
Continue simmering until the noodles are cooked through, about 7-10 minutes.
Remove from heat and discard the bay leaves before serving.
Serve warm