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Areas that have been declared to have achieved “societal zero COVID” could see eased restrictions.
Shanghai officials reported 48 deaths on Wednesday, bringing the total to at least 238 in the city.
The city’s lockdown has remained in place for nearly a month.
While some of the city’s 25 million residents have been allowed to leave their homes in the past week, the majority remain confined.
A deputy mayor, Zhang Wei, promised “every effort” to resolve problems that prompted complaints about lack of food.
On Wednesday, China reported 14,222 new coronavirus cases.
As Shanghai hopes to open up, residents in China’s capital city are waiting for word on whether the city will shut down.
Beijing is undergoing mass testing after cases were discovered there last weekend.
The city reported 34 new cases Wednesday.
Thus far, officials have locked down only specific areas where positive cases were detected.
On Wednesday, Beijing’s Tongzhou district suspended classes for all its schools.
Beijing tested nearly 3.8 million people in the Chaoyang district on Monday and local media said last week that the city government also ordered the suspension of in-person after-school activities in the Chaoyang district.
The Associated Press contributed to this report.