The military said in a statement that several Afghan forces were also wounded in the fighting on Wednesday in the Achin district of the Nangarhar province, a militant stronghold. It did not specify how many forces were wounded.
Islamic State militants have gained a foothold in recent years in Afghanistan, where they have battled US-backed government forces as well as the more established Taliban.
The IS affiliate largely consists of disgruntled former Taliban insurgents, and has clashed with the larger group over leadership and ideology.
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