The pull out has been completed in January and any decision on their redeployment will depend of the ground situation, sources said.
The Valley had witnessed widespread protests following the killing of Hizbul Mujahideen militant Burhan Wani in July, 2016.
The additional two brigades comprising 6,000 personnel, which operated along with Rashtriya Rifles, were deployed as part of 'Operation Calmdown' to restore normalcy.
The troops were deployed in areas across Kupwara, Anantnag, Kulgam, Shopian and Pulwama districts in South Kashmir.
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