The Israeli air force has launched airstrikes against targets in Gaza, according to reports from Israeli newspaper Haaretz.
The paper also tweeted an image of what appears to be an explosion caused by one of the strikes.
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The two brothers were aged 10 and 11 when they tortured two boys in Edlington, south Yorkshire, in 2009 in a case that shocked Britain.
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The four-month-old baby died after being snatched out of his mother's arms and savaged by the family dog in October.