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Azam Gul and others were killed when a group of militants stormed some police checkpoints in Alishing district, Xinhua news agency quoted the statement as saying.
Two policemen were killed and five injured in the fighting which lasted for a couple of hours.
Azam Gul was involved in organising attacks on security forces, roadside bombs and targeting government interests.
His elimination could prove a major blow to the group in Laghman and adjoining Nangarhar province.
(Only the headline and picture of this report may have been reworked by the Business Standard staff; the rest of the content is auto-generated from a syndicated feed.)