Up to 2,000 members of the Libyan Armed Forces are to be trained by British military at the army site in Bassingbourn, Cambridgeshire.
Foreign Secretary William Hague said: “The Government firmly believes that a stable, open and democratic Libya contributing to wider regional stability and security is in the UK’s interest.
"That is why we are working closely with the US and other European countries, to lead the broader international effort, to support Libya’s democratic transition and the Libyan authorities’ efforts to make visible improvements in public security in Libya.”
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A British family believed to have fled to Syria have joined Islamic State, according to a statement said to be released on their behalf.