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Boil the spaghetti in salted water for 6 mins. Add the broccoli and boil for 4 mins more or until both are just tender.
Meanwhile, mix the shallots, olives, capers, tuna and lemon zest and juice in a roomy serving bowl. Drain the pasta and broccoli, add to the bowl and toss really well with the olive oil and lots of black pepper. Serve with a little extra olive oil drizzled over.
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