Thanks for the additional sentence. Don't know what Phil thinks, but the second sentence could use an "incorporate."
Another option in addition to the ones below: "feature more prominently."
Just tossing out ideas to narrow down the definition.
The Duden is actually not much help this time:
http://www.duden.de/rechtschreibung/einflieszenThis is "flow into," but in quite a literal sense.
There's a second one:
http://www.duden.de/rechtschreibung/einflieszen_lassenHowever, "beiläufig" is a bad descriptor for your sentence; still, the synonyms may give you some clues.
You may want to bookmark this for further reference:
http://woerterbuchnetz.de/It's the most comprehensive collection of German dictionaries I know of. Some of the meanings in there may be old-fashioned, but it's a good way to get a feeling for certain connotations. Here's the (much more elaborate) definition of "einfließen" (ß=sz):
http://woerterbuchnetz.de/DWB/?sigle=DWB&mode=Vernetzung&lem...This one still has "influence" among its definitions, but I don't think it's used like that anymore.