The phrase "after running through this" is correct and usable in written English.
It can be used to indicate that something will occur or be considered following a review or examination of a particular subject or material.
Example: "After running through this report, we can discuss the next steps for the project."
Alternatives: "after reviewing this" or "after going through this".
After running through this visualisation, relax and allow your mind to drift.
And then, after running through this entire gamut of emotions – this rollercoaster of an evening that started with you falling in love and ended with you shitting alone – after all that, to walk out of a bathroom and declare to someone who is 80percentt sure they are going to bang you tonight: "Hey, bit of a weird one, I shat and threw it out the window, should we call 999?" To do that?
After running through the plant, almost all of this is returned to the river, lake or ocean.
After running through the character failings of Gov. Clinton, Pres.
After running through the material, potential borrowers must answer 12 of 15 questions correctly before any money is released.
Matthew Lowton headed over the crossbar and Delph could not keep his shot down after running through the middle virtually unchallenged.
After running through the piece several times, they stretched out on the studio floor and reflected on their decision.
Others point to unidentified algae or toxins, possibly coming from the Eyre, a river that feeds the bay after running through the Landes, an agricultural region.
That's the case Will Saletan made for Slate yesterday, after running through the F.B.I.'s list of cases involving explosives going back to the beginning of 2012.
After running through the audiovisual setup, I asked her what she was going to say, and she replied that she didn't know yet.
After running through the house at great risk, the writer and his uncle found the husband with the child safe in the backyard.
