Is there a verb that more or less means "to piece together clues"? I'm looking for something like "detectivize," which, unfortunately, isn't a word.
The closest I came up with is "investigate," but this is far from my intended meaning.
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The canonical work of detective reasoning, The Complete Sherlock Holmes uses:
I might go with something like "deduce".
You might try sleuth:
sleuth (verb) : To act as a detective; to try to discover who committed a crime.
Consider ferret out, meaning to “search and discover through persistent investigation”.
I'd go with these related terms. Perhaps they'll fit favorably with your context.
Crime reconstruction or crime scene reconstruction is the forensic science discipline in which one gains "explicit knowledge of the series of events that surround the commission of a crime using deductive and inductive reasoning, physical evidence, scientific methods, and their interrelationships.
Crime scene reconstruction has been described as putting together a jigsaw puzzle but doing so without access to the box top; ...
reconstruction (Oxford Dictionaries)
(1 b) [count noun] an impression, model, or re-enactment of a past event formed from the available evidence:
a reconstruction of the accident would be staged to try to discover the cause of the tragedy
Synonym to piece together thesaurus.com (2.)
Main Entry: reconstruct
Though I think @Jim's sleuth is nice, in some circumstances, Analyze would be best.
"And then there's this: If 99% of the man who professed cluelessness in defense of their misogyny were actually just clueless, 99% of the "garsh, misogyny?!" conversations would dénouement with a grateful thank you for feminist enlightenment, instead of snarling flounces punctuated with accusations of man-hating and grievances about unwelcoming tones."
then that word might just fit what you're looking for. Of course, denouements are after the climax of story.
Decode or decipher could be the words I think you want.