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The 23-year-old pacer is only the third player in Ranji Trophy history with a 10-wicket haul in an innings.
Kerala took a 127-run lead after dismissing Haryana for 164.
Kerala lead by 152 runs after Haryana suffered on day three, ending it at 139/7.
The right-arm bowler bagged 10/49 against Kerala in the first innings at Lahli.
Kerala were 285/8 at stumps on day two with Kamboj's figures reading 8/48.
Medium-pacer Anshul Kamboj claimed both the wickets for the home side.
Shami will spearhead the Bengal pace bowling unit and the Indian thinktank in Australia too will closely follow the pacer's outing.
Jalaj Saxena bagged 6/41 and Aditya Sarvate claimed three as Kerala won by an innings and 117 runs.
At close of day two, Kerala were on 340/7, leading UP by 178 runs.
The all-rounder from Indore achieved the milestone with a fifer in Kerala's ongoing Ranji match against Uttar Pradesh in Thumba.
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