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Into a pot of boiling salted water, add the pasta and cook as per packet directions. Drain reserving ½ cup of the pasta cooking water.
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Meanwhile, cook the broccoli and peas in a saucepan of boiling water for 2 mins until bright green and tender. Drain well and reserve some of the peas for serving.
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Place the broccoli-pea mixture in a food processor with the basil, garlic, almonds and Parmesan. Process until a coarse paste is formed.
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Add the olive oil and process until smooth and season with salt and pepper.
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Add the pesto to a heated pan.
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Add the pasta and reserved cooking water and toss to combine.
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Divide among serving dishes and top with Parmesan, extra peas and basil.