"trace the implications" is a correct and usable phrase in written English.
It means to examine or follow the consequences or effects of something. Example: The scientists were asked to trace the implications of their research on climate change for future generations.
It also meant I had to trace the implications of every change all the way to their final outcome.
While programmers may "mess around," engineers design and can trace the implications of changes through the entire software system.
By drawing on 59 interviews with state judges in a Northeastern state, we describe, and trace the implications of, judges' understandings of racial disparities at arraignment, plea hearings, jury selection, and sentencing.
Thus we find Leibowitz arguing not only historically, but also in the sense of using the tools of rational philosophical discourse to trace the implications of certain positions to their logical conclusions.
They then trace the implications of this vision of marriage for marital property law, and use it to defend the equal division rule for existing marital property, broadly defined to include, most notably, increases (and decreases) in both spouses' earning capacity during the pendency of their marriage.
Bergson traces the implications of this view in the sundry elements of comedy: situations, language, characters.
But an intriguing narrative trick gives the proceedings philosophical texture: the plot of each successive section traces the implications of a path that the heroine chose not to take at the end of the previous section.
She traces the implications of his statements, his rhetoric, and his turns of phrase, but she does so from the point of view of a philosopher, not of a journalist.
Marx's greatest contribution to the history of thinking about evil, then, as it seems to me, lies in his uncanny instinct for tracing the implications of the deeply evil principle that lay at the core of the dominant economic system in his day, as it still does in ours.
We trace out the implications of targeting for competing media.
We trace out the implications of targeting for competing media markets.
