Australia bowlers Mitchell Starc, Josh Hazlewood, Pat Cummins and Nathan Lyon have called for an end to "rumour mongering and innuendo" around the 2018 ball-tampering scandal.

Then-captain Steve Smith, David Warner and Cameron Bancroft were banned by Cricket Australia after all three were implicated in a plot to alter the condition of the ball with sandpaper during a 322-run defeat to South Africa at Newlands in March 2018.

Bancroft, who was caught on camera rubbing what was initially thought to be yellow sticky tape on the ball, was punished along with Smith and Warner, the latter as vice-captain also part of Australia's "leadership group".

Head coach Darren Lehman was cleared of any wrong-doing at the time and later stepped down, while the bowling attack of Starc, Hazlewood, Cummins and Lyon were also said to be in the dark.

In an interview with The Guardian last weekend, Bancroft was asked whether the bowlers knew what was going on and replied: "Uh … yeah, look, I think, yeah, I think it's pretty probably self-explanatory."

Cricket Australia invited Bancroft to come forward with any further information after it conducted a full investigation at the time.

In a joint statement published on Starc's website, the Australian bowlers stridently denied any wrongdoing and said it was "time to move on".

"We pride ourselves on our honesty. So it’s been disappointing to see that our integrity has been questioned by some journalists and past players in recent days in regard to the Cape Town Test of 2018," the statement read.

"We have already answered questions many times on this issue, but we feel compelled to put the key facts on the record again.

"We did not know a foreign substance was taken onto the field to alter the condition of the ball until we saw the images on the big screen at Newlands."

Umpires Nigel Long and Richard Illingworth inspected the condition of the ball after Bancroft appeared to tamper with it and did not find enough damage to change it – something Starc, Hazlewood, Cummins and Lyon chose to highlight.

The statement added: "None of this excuses what happened on the field that day at Newlands. It was wrong and it should never have happened.

"We've all learned valuable lessons and we'd like to think the public can see a change for the better in terms of the way we play, the way we behave and respect the game. Our commitment to improving as people and players will continue.

"We respectfully request an end to the rumour-mongering and innuendo. It has gone on too long and it is time to move on."