Top seeds Skupski and Koolhof rallied to defeat Ariel Behar and Adam Pavlasek 4-6 6-2 6-3.
Kevin Krawietz and Tim Puetz, the 10th seeds, defeated Murray and Venus 6-4, 6-3.
Elise Mertens and Storm Hunter defeated Maia Lumsden and Naiktha Bains, ending their progress to the women’s final eight.
Later on Wednesday, the British mixed doubles team of Jonny O’Mara and Emily Nicholls will compete for a final-four spot against Mate Pavic of Croatia and Lyudmyla Kichenok of Ukraine.
Skupski and Koolhof, who have yet to share a Grand Slam victory, trailed Behar of Uruguay and Pavlasek of the Czech Republic by a set, but they quickly broke back in the second set to begin their comeback.
After levelling the score at one set each the pair once again secured an early break and crucially kept hold of their serve in a tight deciding set before sealing victory at the first time of asking.There was disappointment for 13th seeds Murray and Venus and the pair looked out of sorts against the German pair of Krawietz and Puetz.
Murray and Venus missed three break points in the third game of the opening set and never looked like threatening after that.
They gave up an early break in the second set and although they saved match points to make the German duo serve it out, Krawietz and Puetz duly secured victory.
The Wimbledon men’s doubles championship had been Murray, 37,’s “biggest goal” after their fourth-round victory, and the disappointment was evident as the two exited the court with their heads down.Earlier, the third seeds Hunter and Mertens, who had more experience, defeated Bains and Lumsden 6-2, 6-1.
The pair had been the first women’s doubles team from Britain to go to the round of eight since 1983.
Bains and Lumsden, both 25 years old, pulled off an upset in the first round by overcoming the 11th seeds Anna Danilina and Xu Yifan. In the second round, they defeated the singles draw seeds Magda Linette and Bernarda Pera in two hours and 36 minutes.
The 28th-seeded singles team of Hunter and Mertens, however, proved to be too much for the combination.
Although they had chances of their own to break their opponents’ service in front of a supportive home crowd, they were unable to take advantage of those opportunities, which lost them early breaks in both sets.
Lumsden and Maia combined for seven double faults and thirteen unforced errors, compared to Hunter and Mertens’ three and seven, respectively, suggesting that nerves may have gotten the better of them.
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