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Instead of just rushing in to the low pressure area, the air is also forced to rotate counterclockwise around it.
Balance of Pressure Force and Coriolis Force
But the Coriolis force acting on this circulation velocity again tries to deflect the material to the right, i.e. outward, opposing the inward force from the low pressure.
Now think of this as view looking down on a low pressure region
On earth the circulation velocity usually builds up till the outward Coriolis force almost exactly balances the inward pressure force.