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 rumbling row between black cab drivers and private hire car firms could be resolved this week.
The twins cubs, which were born in June, have been named Bert and Ernie after characters from Sesame Street.
The two victims died from their injuries in hospital after the explosion in Hertfordshire.