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Livingstone's injury is not of serious nature but the England management, as per ESPNCricinfo, decided to give him more time to get it treated prior to their home T20I series against Pakistan, beginning on May 22.
The ECB, however, cleared all-rounder Liam Livingstone, who is coming back after recovering from his knee and ankle injuries, to play in the IPL.
The teams went big on current India players and largely based their decision on the form players from overseas with more focus on fast bowlers, not caring about reputations.
Livingstone left the field with the little finger on his left hand swollen after he dropped a catch at deep midwicket during England's seven-wicket defeat by India.