Defending champions Salisbury and American Rajeev Ram were first up and edged out Philipp Oswald and Marcus Daniell on Margaret Court Arena.
After grabbing a crucial tie break in the first set, the 2020 champions rallied in the second, pulling off two breaks to seal a 7-6 (6) 6-2 win.
Murray and partner Bruno Soares swiftly joined them in the final four though, out-duelling Marcelo Arevalo and Matwe Middelkoop in straight sets.
Murray and Soares, seeded sixth, triumphed 6-3 6-4 victory behind a dominant serve game.
The British-Brazilian pair have picked up significant momentum this season with an unbeaten 8-0 record after reuniting for 2021, with happy memories from five years ago when they landed the title in Melbourne.
Alfie Hewett was denied a second title in Melbourne after he lost a thrilling men’s wheelchair singles final to Joachim Gerard by a 6-0 4-6 6-4 scoreline.
The 23-year-old teamed up with Scotland’s Gordon Reid on Tuesday to secure a British record-equalling 10th grand slam doubles title as a team.
A day later and Hewett was out to win the Australian Open for the first time but looked set for a whitewash when he trailed 0-4 in the second set after he lost the opener 6-0. While an admirable reply was produced, he lost out in the decider to finish as runner-up.
“I am really proud of not tanking at six love, four love down so I am proud of myself for that comeback and for making it a final,” the four-time grand slam winner said in an emotional on-court interview.
“It’s been a long five weeks and ready to go home now. Thanks everyone.”
Additional reporting from PA
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