A non-aboriginal business has licensed the copyright on Australia's aboriginal flag, and are making copyright claims against aboriginal businesses

Under very different circumstances, though - opposite, even. Due to the nature of trademarks (they only function if they’re unique), they can be lost simply due to the act of others using them (to refer to something else). But copyright can only be abandoned through a deliberate act by the creator. (Which is why you can get copyrighted “orphan works” - while there was a clear copyright owner, no one committed the act of abandonment, but now there’s no longer a clear owner and it’s still under copyright.)

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