The Egyptian opposition said it will continue protests in Tahir Square and elsewhere against President Mohammed Mursi, according to Reuters.
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Between 4,000 and 8,000 fighters of the so-called Islamic State are still thought to be in the area.
Police are trying to find the driver of the car following the incident in Kingfisher Close, Brownhills.
An unnamed man died at the scene, while a woman was pronounced dead after being taken to St George's Hospital, Tooting, south-west London.