I don't. If I try to figure out what people are implying without saying, I'm often wrong, and my wrong guesses generally cause more problems than simply ignoring everything other than what's explicitly stated. Trying to figure out what people think I'm implying is even worse. I prefer when people speak simply to me, and I often deliberately feign idiocy just to make my life easier, when it's not necessary for people to actually take me seriously.
The exception is with people I know very well. People I'm very familiar with, like family, I learn to read very well. I can often read their patterns so well I can anticipate their behavior as well as they can themselves. I also can get implications in written works of fiction, likely due to the slower speed of reading vs. conversation. If I have time to analyze, I can figure it out intellectually. I'm probably quite slow at it vs. others, but my analysis is probably no less insightful, and my collegiate humanities grades would seem to bear that out.
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Self-Diagnosed Dec. 2010
135 Aspie, 65 NT--Aspie Quiz
AQ 40
BAPD--124 aloof, 88 rigid, 83 pragmatic
EQ/SQ--21/78--Extreme systematizing