Former defence minister Peter Luff, who was named by the newspaper as one of the 27, declined to comment on the claims.
According to the Daily Telegraph Mr Luff lets one small residential property in London he owns jointly with his wife but also claimed £17,799 in expenses for rental payments in the last financial year.
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The Conservatives have proposed a counter-extremism commission, while Labour would recruit more security and intelligence staff.
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Georgina Callander's family said the government must "opens its eyes" in the wake of the attack.