Original: The largely uninhabited Coral Sea Islands was established as a Territory of the Commonwealth in 1969 while Ashmore and Cartier Islands has been a territory since 1933 and administered under the laws of the Northern Territory.
Simplified: The largely uninhabited Coral Sea Islands was set up as a Territory of the Commonwealth in 1969. The Ashmore and Cartier Islands has been a territory since 1933 run under the laws of the Northern Territory.