As an editor for an academic press, my pet peeve is when authors write sentences like "attempt to conceive of a possible approach to resolve X" instead of "try to resolve X". Obviously one big difference is just in the number of unnecessary words - but another difference is in how the author distances himself from the action. Is there a word for this tendency? Sure, sometimes it has a purpose -- but most times the author is just hedging responsibility. Is there a word in the writing world to describe this?
Locution that circles around a specific idea with multiple words rather than directly evoking it with fewer and apter words.
As an author, you'll sometimes want to use those either to avoid repetition (some sentences have the tendency to come out more often than you'd like), or specifically to avoid 'getting straight to the point'.
In your example, the circumlocution is used for this exactly; the sentence doesn't simply want say someone is trying to do X, but insisting on the fact that the whole process of 'trying' is not as straightfoward as the word alone might imply. It gives you greater detail to the process, and does have a nicer phrasing as well.