The phrase "afterwards they found" is correct and usable in written English.
It can be used to indicate that something was discovered or realized after a certain event or time period.
Example: "After the investigation concluded, afterwards they found several inconsistencies in the reports."
Alternatives: "subsequently they discovered" or "later they uncovered".
This conclusion was reached during an experiment in which 122 participants bought songs from iTunes as gifts from their friends - when researchers surveyed these friends afterwards, they found they generally liked their gifts more when told they reflected the givers' personal tastes in music.
When the players arrived in their hotel rooms afterwards, they found that their TV screens had been hacked, the traditional "Welcome" messages replaced with sinister threats and abuse.
Soon afterwards they found Young and "it soon became apparent that [she was] also in distress and in need of medical attention".
When they measured each person's response to their fears afterwards, they found that their amygdala responses had decreased, and so did their skin conductance response and only for the animal they were targeting, not the other one they were afraid of that they weren't being rewarded for.
Afterwards, they find themselves at the same party.
Unsurprisingly, a majority reported afterwards that they found it difficult to concentrate and their minds had wandered, with around half saying they didn't enjoy the experience.
Soon afterwards they both found positions at Syracuse University near New York - Pullin accepted a post-doc while González worked on her PhD.
And those who graduate are usually entitled to stick around for a bit afterwards; they may find their two-year segue into work curtailed.
Afterwards, the participants say that they found it really hard to please customers but over half of them have decided they want to set up their own businesses when they grow up.Kennington is a not particularly salubrious part of London.
Afterwards, I found out they didn't want to offend me because they believed it was a cultural issue.
It was only afterwards I found out they were gunshots".
