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Bring a large pan of water to the boil. Whisk the oil with the mustard, honey and vinegar in a large bowl and season.
Put the leeks in the water, bring back to the boil, then simmer gently for 1 min. Add the beans and cook for 2 mins, then add the broccoli and simmer everything for 4 mins. Finally, add the peas, bring back to the boil and simmer for 1 min more. Drain really well, then tip into the large bowl and toss through the dressing. Serve straight away.