Developers say they want to turn the 77-acre site where Earls Court Exhibition Centre currently stands into a "new London district" by creating a High Street and 7,500 houses.
Earls Court was built in 1937 and is famous for hosting the Ideal Home Show and the Royal Tournament.
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The prison was originally opened in 1852 as a mixed prison before becoming the first female-only local prison in England in 1902.
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