Pulse pine nuts, garlic, lemon juice, and 2 tablespoons olive oil in a food processor until chopped.
Add avocado, basil, salt, and pepper. Process until smooth.
Notes
Store avocado pesto in an airtight container in the refrigerator and use within 3 to 4 days. Because this recipe contains fresh garlic, basil, and oil, it should not be stored at room temperature or kept for extended refrigeration. Freeze for longer storage.