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The International Cricket Council has readmitted Zimbabwe as a part after a ban.
Zimbabwe, that failed to be eligible for the World Cup of this year, were suspended in July because of interference.
They are eligible to play at the men of Under-19 World Cup.
The lifting of the ban is too late for Fridays 2020 World Twenty20.
It was agreed in August that Nigeria would replace them .
An ICC statement said the readmission was made after an interview in Dubai involving the Zimbabwe Cricket chairman Tavengwa Mukuhlani and athletics ministry Kirsty Coventry.
I would like to thank the Zimbabwe sports minister for her commitment to the reinstatement of Zimbabwe Cricket, ICC chairman Shashank Manohar stated.
Her desire to work in service of Zimbabwe Cricket was clear and she has unconditionally complied with all the terms set down by the ICC board
Zimbabwe, that continued to play matches within their suspension, have not played a Test since November 2018 and faced England in an international in 2007.
They are 11th in the ODI rankings and 15th, 12th in the ICC Test rankings in the T20 rankings.
The suspension on the national cricket body of Nepal, enforced in 2016 for a similar violation of the regulations of the ICC concerning government interference, continues to be lifted.
Analysis and opinion by the cricket correspondent of the BBC.