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Every Sunday, we’ll bring you some of the Guardian’s best stories from the week. Stories we loved, that made us feel happy, sad, or just made us think, read by the people who wrote them. Writer and critic Fiona Wright has often joked with her friends that, in order for them to own homes, they’d have to wait until their parents die. But is there a truth to this dark joke?

Tony Barry and Barrie Cassidy examine new polling that shows the upcoming South Australian election could deliver a nightmare result for the Liberal party and the first test for the reported surge to One Nation. The Barries also examine Angus Taylor’s new-look shadow frontbench and the fiery political debate around returning IS families.

In his first comments after the arrest of Andrew Mountbatten-Windsor, Anthony Albanese says that the ex-prince has had an extraordinary fall from grace. And while the prime minister is a firm republican, this disgrace will not prompt another referendum. Speaking with Guardian Australia’s political editor Tom McIlroy, the PM hits back at Pauline Hanson’s comments about Muslim Australians. He also discusses what would happen if the 34 Australian wives and children of Islamic State fighters stuck in Syria made their back to Australia

Andrew Mountbatten-Windsor has been arrested on suspicion of misconduct in public office by police investigating his dealings with Jeffrey Epstein. Six unmarked police cars carrying plainclothes officers arrived at the Sandringham estate while the former prince was celebrating his 66th birthday on Thursday. Officers searched the Norfolk property as well as Mountbatten-Windsor’s former home at the Royal Lodge in Great Windsor Park. Lucy Hough speaks to the Guardian journalist David Pegg

For many Australians, the only chance they will have at owning a home will come in the form of tragedy. House prices have become so expensive that Australians are increasingly relying not just on the bank of mum and dad, but on the inheritance that comes with their death to get a foot on the housing ladder. Over the next 20 years, it’s expected $5.4tn will be passed down from baby boomers to their beneficiaries. But experts warn that this great intergenerational wealth transfer presents one of the biggest challenges the country has faced in decades. Reged Ahmad speaks with deputy features editor Celina Ribeiro about how the age of inheritance is threatening economic equality, faith in the ‘fair go’, and even in democracy itself