Which is not a run-on sentence? The Southern Cross was important to the aboriginal people, they believed the pattern of the stars was of a wedge-tailed eagle. The Southern Cross was important the aboriginal people they believed the pattern of the stars was of a wedge-tailed eagle. The Southern Cross was important to the aboriginal people, who believed the pattern of the stars was of a wedge-tailed eagle. The Southern Cross was a wedge-tailed eagle pattern, the aboriginal people, they believed the stars were important.

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Answer

The Southern Cross was important to the aboriginal people, who believed the pattern of the stars was of a wedge-tailed eagle.
Explanation
It does not go on and on forever
The second sentence you put because it is not complete by any commas. The sentence does not flow thoroughly together.