This statement is not entirely accurate. As of May 2023, same-sex marriage is legal and recognized in Germany and Switzerland, but not in Australia. However, prior to the legalization of same-sex marriage, all three countries had legal recognition of same-sex relationships through registered partnerships or civil unions. In Switzerland, registered partnerships were available for same-sex couples since 2007, while in Germany and Australia, registered partnerships or civil unions were available prior to the legalization of same-sex marriage. It's worth noting that laws and policies can change, so this information may not be accurate in the future.