The trio of front-runners matched their first rounds of 68 to head into the weekend at the top of the leaderboard at Doha Golf Club.
Four-time European Tour champion Coetzee hit the turn in 33 after three birdies and made another gain at the 10th before going on to complete a bogey-free second round.
Harding - bidding to win the first title of his career - reeled off three consecutive birdies at the start of the back nine and came up with a fifth of his round at the 17th, dropping just one shot at the third.
Lorenzo-Vera joined the South African duo at the summit after a shaky start, bogeying only the first hole in an impressive round.
Adri Arnaus - joint-leader with Justin Walters overnight - is among four players just a shot off the lead on seven under.
The Spaniard carded a two-under 70 to sit level with Masahiro Kawamura, Erik van Rooyen and Oliver Wilson - who all signed for 68s.
Richie Ramsay and Nicolas Colsaerts are two of the eight players a further stroke back, while Walters dropped to four under with a one-over 73.
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