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No, not indefintely, however if you recall in the Cell Saga, Goku and Gohan displayed a new transformation which is called Mastered Super Saiyan/Full Power Super Saiyan. Allowing themselves to train in their Super Saiyan transformations decreased the ki consumption, essentially making it as if it were their base form. So eventually, they would run out of ki, and not maintain enough to stay in their Super Saiyan form.

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