Halep had not lost a set in her previous two meetings with Kontaveit, who managed just one breakpoint on the former world number one's serve.
The Romanian, runner-up at Melbourne Park in 2018, will meet either Spaniard Garbine Muguruza or Anastasia Pavlyuchenkova of Russia for a place in Saturday's final. (Reporting by Sudipto Ganguly; editing by Peter Rutherford)

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