Culture Secretary Maria Miller has said editors meeting at Number 10 pledged to meet the challenge of setting up an independent press regulator "swiftly".
"They want to come forward with those plans as quickly as possible," Ms Miller said, adding that the industry would announce a deadline for its proposals over the next two days.
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A documentary about the brutal gang rape and murder of a woman on a Delhi bus in 2012 has been banned in India.
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