The world-famous revolving sign will be retained at the new building, as well as the Eternal Flame and Roll of Honour, which are currently located at New Scotland Yard in Victoria.
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The victim, in her 30s, was sitting in a garden in the early hours of the morning when a man leapt over the fence.
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Newly re-elected Labour leader Jeremy Corbyn describes his relationship with Mr Khan as "fine", even though they haven't spoken recently.