Taliban spokesman Qari Yousuf Ahmadi said the group claimed responsibility for the assaults, which come as the Western-backed government in Kabul is struggling to beat back insurgents in the wake of the exit of most North Atlantic Treaty Organisation forces in 2014.
Four U.S. troops were injured Monday when a vehicle bomb detonated in Kandahar, the U.S. -NATO mission in Afghanistan said in a statement.
On Monday the Taliban killed eight Afghan police officers after hiding in a cemetery near the village of Pule Regi and watching the police officers with the night-vision goggles, according to The New York Times.
At least 22 policemen and 45 militants were killed after Taliban attacked police checkpoints in Maywand district of Afghanistan's southern province of Kandahar overnight, provincial police spokesman said Tuesday. No coalition forces were killed after the attack, the Military Times reported.
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The Taliban attacks have not only increased lately, but they are even beginning to employ new tactics.
Police in the province said that law enforcement officers attacked the Taliban, who "destroyed the checkpoint and took away all the stored weapons".
Police suspected that one of the soldiers colluded with the jihadists.
In August, Trump announced that American forces would stay in Afghanistan indefinitely, increasing attacks on militants and deploying more troops.