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Kohli has managed only one fifty in 13 innings this season and scored three ducks despite playing with new-found freedom having relinquished RCB captaincy last year.
Maxwell has missed the first couple of matches for RCB and will also miss the third game against RR later tonight as he is contracted to Cricket Australia.
The Black Caps secured their third successive win in the World Cup with a seven-wicket victory over Afghanistan in Taunton on Saturday to sit top of the standings on six points.
Fast bowler Steyn, who quit tests in 2019 to prolong his limited overs career, has played three Twenty20 International matches this year in addition to his stint in the Pakistan Super League.
Results 1-4
