'complexion on' is not correct and is not usable in written English.
You would need to include an adjective to make the phrase meaningful. For example, you could say, "She had a glowing complexion on her wedding day."
Individuals found in the west of its range (areas like the Great Lakes and the Midwest United States) have a paler complexion on the inside of their legs and underside of their necks than ones found in the east (places including the Appalachian Mountains, New York, and Pennsylvania).
All of which puts a very different complexion on things.
But to a new breed of buyers, historical documentation puts a different complexion on the cover.
Obviously this puts a different complexion on the profiteering of the branded tablet.
The prospect of charges against the firm put a new complexion on the Enron debacle.
Well, that certainly puts a different complexion on it, admits a chastened Hacker.
The stabilization of complexions, on one hand, inhibits WC grain growth effectively, on the other hand separates the bonding of WC and Co, thus causes decrease of the resistance against intergranular fracture of the cemented carbides.
By then, the once described "best looking young man in Tokyo," took to appearing in public with his face powdered and lips tinted with rouge, perhaps to correct a sallow complexion brought on by illness.
The great mass extinctions of the geological past have radically altered the ensuing complexion of life on earth.
Maybe this is another way the Fashion Week shows offer a fantasy that differs from the every day: audiences can admire pale complexions on the runways but, personally, would rather be darker.
A makeup base on the beach feels slightly gross, but this tinted sunblock gives sheer, oil‑free coverage to pale to medium-dark complexions on its own (there's a colourless version for any skin tone).
