The top seed had to show all her fighting qualities by saving a match point before overcoming German fourth seed Kerber, the 2016 Australian and US Open winner in two hours and 17 minutes.
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“That was very tough,” said Wozniacki. “I was down match point and I think I got a little lucky hitting both lines, and then I somehow managed to get through.
“I always have tough matches against Angie, and I knew it wasn’t going to be an easy one today.”

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The Australian Open champion will face Aryna Sabalenka in the final after she enjoyed a 6-3 1-6 6-3 victory over Agnieszka Radwanska.
It will be her first meeting with the 20-year-old Belarusian.
Wozniacki was pushed to her limits, conceding the first set with little resistance.
Kerber continued her dominance in the second and almost sealed the victory before Wozniacki regained her composure to force a tie-break and eventually clinch the set.
Wozniacki held her nerve in the third set and despite hitting 34 winners to Kerber's 42 in the match, the Dane came out on top to reach her second consecutive Eastbourne final. She lost to Karolina Pliskova last year.
In the earlier match, Sabalenka, who stunned Pliskova in the quarter-finals, took control of her match from the opening set with her aggressive style of play, which saw the Belarusian rack up 25 winners.
Radwanska won six games in a row in the second set as she mounted a comeback and Sabalenka's powerful but risky game plan backfired with her making 17 unforced errors.
Sabalenka trailed 3-2 in the decider but worked her way back into the contest, breaking Radwanska's serve twice to set up match point and finishing her opponent off with a forehand winner.
"I remember one situation with Wozniacki, she was running and put all the balls in, it was the longest point I've ever seen. It will be interesting," Sabalenka said about the final.
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