The phrase "but does not show" is correct and usable in written English.
You can use this phrase to express contrast between two ideas. For example: She seems pleased, but does not show it.
Westin tells but does not show why.
The film hints at this, but does not show much.
The group holds meetings, critiques and other events at its parent museum but does not show there.
The fact that Mr. Martoma spoke with Mr. Cohen before the Elan and Wyeth trades is suspicious but does not show an agreement.
In the law review, Yoshino says that Portia is out for vengeance, and in this book that she praises but does not show mercy.
"Girls" is about the chaos and exhaustion of selfhood in a fluid, early-21st-century society that says you can be anything but does not show you how.
He mentions Grey Street and the stunning architecture of the city centre, but does not show it in any of his photographs.
It is true that the classic question by conspiracy theorists - cui bono, who stands to gain? - provides only speculation; it suggests "why", but does not show "how".
Mr. Obama, who has also been confronted by questions about his cool public reaction, said Thursday night that he is "furious at this entire situation" but does not show it because it does not accomplish anything.
David N. Kelley, the United States attorney for the Southern District of New York, in Manhattan, said the complaint alleges that Mr. Park intended to bribe the official, but does not show that the official received any bribe.
This establishes that, of necessity, having atomic number 79 is necessary for being gold, but does not show that possession of this property is sufficient for being gold.
