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Kerala took a 127-run lead after dismissing Haryana for 164.
Sharafuddeen NM played a brilliant all-round game but the Sailors lost by 18 runs.
The Blue Tigers posted their first win of the campaign by defeating the Ripples by 64 runs.
The KCL will be held at the Greenfield International Stadium at Karyavattom from September 2 to 18.
His 3/15 against Delhi Capitals on Wednesday has bettered the 3/29 shared by S Sreesanth and Basil Thampi.
Kerala ended the second day on 258/3, juut 14 runs adrift of the home side's first innings total of 272.
Kotian top-scored with 56 off 105 balls. Gopal (4/28) was the most successful Kerala bowler.
Kerala have four points from two matches, while Assam opened their account with the draw.
Kerala were home and dry in the 20th over in their pursuit of a modest 117.
Pacers Basil Thampi and K M Asif claimed two each as the Bihar innings folded up in exactly 20 overs.
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