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Simona Halep celebrates after defeating Anett Kontaveit in their quarter-final match at the Australian Open in Melbourne on Jan. 29, 2020.The Associated Press

Simona Halep is back in the Australian Open semi-finals, and Garbine Muguruza has made it for the first time.

The pair of two-time major winners will play for a spot in the final of the season-opening major after No. 4 Halep and unseeded Muguruza won their quarter-finals in straight sets on Wednesday.

Both have already won Wimbledon and the French Open and have been ranked No. 1, and are bidding for their first Grand Slam title on a hard court.

“Any Grand Slam, it’s a priority. I will not just choose one,” Halep said. “But, of course, it’s going to be great if I will be able to win one on hard court.”

Halep has been close before, losing the final in three sets at Melbourne Park to Caroline Wozniacki in 2018.

The 28-year-old Romanian said that tough loss was the main push for her breakthrough win that year at Roland Garros, where she beat Muguruza in the semi-finals.

Halep needed only 53 minutes to beat first-time major quarterfinalist Kontaveit 6-1, 6-1.

“Perfection doesn’t exist, but I’m very happy with the way I played. I felt great on court. I was moving great. I felt the ball, like, really, really good,” she said. “It was a great match.”

Muguruza took a little more than 1 1/2 hours to eliminate No. 30 Anastasia Pavlyuchenkova 7-5, 6-3, with both players struggling with their serves in the sun from one end. Five of the eight service breaks were in the first set, which lasted 56 minutes. The win earned Muruguza a spot in the semi-finals at Melbourne Park for the first time, and her first at any Grand Slam tournament since the French Open in ‘18.

The loss dropped Pavlyuchenkova to 0-6 in quarter-finals at majors; she has entered 49 Slams without reaching the final four once.

There are three major winners in the last four, with reigning French Open champion Ash Barty playing No. 14 Sofia Kenin in the other women’s semi-final Thursday. The top-ranked Barty is trying to end a drought for Australians at home: The last woman to win the singles championship was Chris O’Neil in 1978.

Halep spent her off-season away from home for the first time so she could focus fully on 2020 and her quest for a third major title.

“No days off,” Halep said.

Kontaveit held the opening game at love. From then on, it was all one way as Halep went on a relentless, 11-game roll.

Halep worked for every point and only faced one break point, fending it off with a commanding forehand winner.

In the second set, Halep won the longest rally of the match — a 25-shot exchange — and then followed it up immediately with an ace on the way to 5-0 lead.

Seeded fourth, Halep has advanced to the last four without dropping a set, and said she feels like she’s playing her best tennis.

“I feel strong on my legs. I’ve been focused, every point,” she said. “This year I’ve started very well. I’m feeling much stronger than before.”

Top-ranked Rafael Nadal was scheduled to play his quarter-final Wednesday night against fifth-seeded Dominic Thiem, the man he has beaten in the last two French Open finals. Stan Wawrinka, the 2014 Australian Open champion, was taking on seventh-seeded Alexander Zverev in an afternoon quarter-final.

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