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Discover LudwigThe phrase "are written after" is correct and usable in written English.
It can be used to indicate that something is documented or recorded following a certain point in time or event.
Example: "The final results of the experiment are written after the data collection phase is complete."
Alternatives: "are documented following" or "are recorded subsequent to".
Exact(4)
"Most of our sources are written after the fact, mediated by memory — sometimes false memory," Ms. Taylor said.
American oceanographer Donald J.P. Swift has called continental shelves "palimpsests," parchment writing tablets upon which stories are written after each previous writing has been erased.
These "smaller sublocalities" are written after a colon following the sublocality, e.g., "Egypt (Sinai: Tor)".
All intervention sessions are audio-recorded and progress notes are written after each of the 3 coaching follow-up telephone calls.
Similar(56)
More importantly so, if you are writing after long years of inaction.
Everything else was written after 1980.
The second was written after the visit.
Of thirty-two wonly, only five were written after 1945.
"This was written after Oscar Hammerstein died," he said.
The play was written after Mr. Corden was cast as a surefire draw.
(This is written after just the barest communiqué. I don't know what it's done).
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com