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Four-time Grand Slam champion Osaka fell from fifth to eighth as Halep, who married boyfriend Toni Iuruc last week in a civil ceremony in her hometown of Constanta, tumbled down to 14th.
Ashleigh Barty remains top and French Open winner Barbora Krejcikova climbed to a career-high of fifth.
Danish teenager Clara Tauson rose 18 places to 52nd after capturing her second title of the year in Luxembourg.
Italy’s Jasmine Paolini jumped from 87th to 64th following her first WTA title at Portoroz, Slovenia.
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