Add the avocados, basil, toasted pine nuts, garlic, lemon juice, olive oil, parmesan cheese, salt, and black pepper to a food processor or blender. Starting with ½ cup pasta water, blend until smooth, adding a little pasta water at a time to loosen the sauce to a creamy consistency.
2 medium avocados, 2 cups basil, ½ cup pine nuts, 2 cloves garlic, 1 lemon, 2 tablespoon olive oil, ½ cup parmesan cheese, ¼ teaspoon salt, Freshly ground black pepper, 1 cup pasta water