Security firm G4S has failed to win any of the prison contracts it was bidding for, the Ministry of Justice said.
Competitions to run Northumberland prison and the South Yorkshire group of jails - Lindholme, Hatfield and Moorland - will move to the final stage without G4S in the running.
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Labour members who make "disgusting" anti-Semitic remarks should be expelled, shadow cabinet minister Jonathan Ashworth has said.
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The unnamed woman is the first ever to complete the famously gruelling marine officer training since the job was opened to women.