Former NSW Open champion Adam Blyth, New South Welshman Jordan Zunic and Murray are one shot clear of the field at The Brisbane Golf Club after each reached the halfway mark at seven under par.
Murray followed his opening 65 with a relatively pedestrian 70 while Blyth and Zunic fired second rounds of 69 and 68 respectively.
Having foregone the winner's cheque at last week's $100,000 WA Open, Murray is in the box seat to record back-to-back professional wins before what appears an imminent move into the play-for-pay ranks.
Rookie pro Kevin Yuan and former PGA Tour player Rhein Gibson share fourth at six under while five players including New Zealand's Mark Brown are a further two shots back at four under.
The first woman to compete in Queensland Open history, Becky Kay, fell eight shots short in her quest to play the weekend.
The 19-year-old added a six-over 77 to her opening 75 for a 10-over total and T111 finish in the field of 132.
Needing to go under par at the least to make the cut, the Queensland amateur played her first seven holes in one over before her campaign was effectively derailed by a double bogey at the par-four eighth.
There were no fireworks on her inward nine where she mixed six pars with three more bogeys.
"Leading up to the tournament starting, I got so much media, I mean, it was pretty full-on, great experience though," Kay said after her Friday morning round.
"I had a lot of fun doing it, didn't play as good as I wanted to, definitely could have done a lot better but the experience has been amazing, I'm so grateful for it."
Only 34 players broke par for the opening 36 holes and the cut fell at three over.
At one over, Victorian Ryan Woodward made it to the weekend, spurred on by a hole-in-one at the seventh - his 16th hole of the day - and a closing birdie at the par-five ninth.
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