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It has been a messy week in Australian politics. In NSW, the Liberal party faced the corruption watchdog over allegations of branch stacking and illegal donations. In Victoria, the noise around the so-called Big Build brought down a premier and threatens to further alienate already aggrieved voters. Josephine Tovey is joined by Mike Ticher, Patrick Keneally and Anne Davies to talk about a bad week for trust in politics

Twenty-five years ago, on a desolate stretch of Australian highway, Bradley John Murdoch flagged down British backpackers Joanne Lees and Peter Falconio. Falconio was never seen again. Now, as police continue to try to bring closure for his family, one former British government expert says he knows the ‘most likely’ place where Falconio’s body was hidden Queensland correspondent Ben Smee joins Reged Ahmad as police try to finally close the case on the murder of Peter Falconio

In this episode of Guardian Australia’s weekly US politics podcast, co-hosts Jonathan Yerushalmy and Reged Ahmad discuss Donald Trump’s closed-door meeting with Benjamin Netanyahu at the White House. They also examine the president’s escalating attacks on the Smithsonian National Museum of American History as well as his performance at the White House correspondent’s dinner

Victoria has a new premier after the education minister, Ben Carroll, was voted in by the Labor party during a chaotic caucus meeting on Tuesday morning. His predecessor, Jacinta Allan, stood down after a tumultuous few months at the helm of a government diving in the polls and struggling to fend off a rising One Nation ahead of November’s state election. Victorian state correspondent Benita Kolovos tells Reged Ahmad how the day unfolded and whether a change in leadership can improve Labor’s chances at the ballot box later this year

Taking place once every three years, the Labor party conference can be a chance to have open debates on vexed policy issues – but this one was different. Reged Ahmad speaks to the political editor, Tom McIlroy, about whether the prime minister is insisting on too much control and what his tight hold means for his party’s chances of taking on One Nation

This year the FBI issued urgent warnings to parents about 764, a global online community where children are manipulated into acts of violence. With hundreds of investigations under way worldwide, including in Australia, 764 and groups like it are accused of using coercion to turn vulnerable minors into victims and, in some cases, predators. Nour Haydar speaks to investigations reporter Ariel Bogle about the dangers to children these networks pose

Speaking with political editor Tom McIlroy and chief political correspondent Dan Jervis-Bardy at the 50th Labor conference in Adelaide, Peter Malinauskas talks about his own state contest with One Nation and why progressives should not speak down to Pauline Hanson’s supporters. And despite the US admitting this week that the production rate of Virginia-class submarines has not increased, the SA premier argues that abandoning Aukus would pose an even greater risk than the controversial agreement’s potential problems

Tony Barry and George Megalogenis (filling in for Barrie Cassidy) give their view on One Nation MP Barnaby Joyce’s viral moment this week and why they think it played well to his party’s base. George takes us back to past elections that produced favourable results for One Nation to remind us that we have been here before and that political predictions often don’t come true. And they sign off with a listener email asking if the rise in polling is damaging democracy

Political and media attention this week has once again been squarely focused on One Nation’s antics. But while Pauline Hanson had her Euro summer, many of that continent’s biggest cities were enduring their worst heat stress in recorded history. In Australia, an El Niño summer is not far away and we may be headed for our hottest winter on record. Jo Tovey speaks with Mike Ticher and assistant climate editor Donna Lu about whether Australia is being too complacent about the changing climate

Tens of thousands of young protesters poured on to the streets of India’s capital, New Delhi, this week amid an explosion of anger over the country’s education system and youth unemployment. The protesters are supporters of the Cockroach Janta party, which started as an online joke but has quickly become an unexpected challenge to the powerful rightwing government of Narendra Modi. Nour Haydar speaks to the Guardian’s south Asia correspondent, Hannah Ellis-Petersen, about what’s behind India’s growing protests