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Ashton was the first to progress on Friday, and did so in dominant style at the O2 Arena.
The top seed is still yet to drop a set after beating Australia’s Corrine Hammond 2-0, in which she won both legs 3-0.
The moment Suzuki booked dream final with Ashton
On Friday evening, Suzuki – who beat Ashton 2-0 last year – battled past 16-year-old Beau Greaves.
Suzuki survived a first-round scare of her own earlier this week, recovering from a set down to beat Maria O'Brien, and she had to be at her best to beat Greaves.
Ignore the critics, BDO Darts World Championship still puts on a show
After Suzuki took the first set, Greaves forced a decider as she targeted a first final.
But Suzuki held her nerve, taking the final set 3-0 to seal a tense victory.
Williams to face Vandenbogaerde, Mitchell takes on Warren in semis
Second seed Jim Williams will face a stern semi-final test against Mario Vandenbogaerde on Saturday for a place in Sunday’s men’s final.
Vandenbogaerde, seeded 11th, overcame David Evans 5-3 in Friday’s second quarter-final.
The Belgian led Evans 2-0 and 3-1 before the Englishman levelled at 3-3, but the comeback was not to be as Vandenbogaerde took the next two sets.
Williams meanwhile powered past Paul Hogan 5-1 as he the Welshman looks to go one better than last year’s semi-final exit.
Earlier in day, fifth seed Wayne Warren won 5-3 against Chris Landman.
Welshman Warren, enjoying his best run at the worlds, trailed the Dutchman 2-1, but took four of the next five sets to advance.
Warren faces Scott Mitchell in the last four after he prevailed 5-4 against Scott Waites in one of the best matches of the tournament.
A tense affair went the distance, and finished around 11.30pm as Mitchell held his nerve in the decider.