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I've been trying to reproduce this art but can't get such smooth blur and how it just "drags" like smoke... Where should I do it: Photoshop or Illustrator. And how to do it?
Make a circle filled it with a Radial Gradient:
and use the Gradient Annotator to define the gradient shape:
With this gradient circle with a Feather Effect, add another ellipse with a half radial blur:
Required, but never shown