A statement that appears true mostly because it sounds good / poetic / alliterates / rhymes.
I'm pretty sure there is such a word. I heard it a few years ago, but have since forgotten it.
Verisimilitude means "the quality of sounding true." So if you wanted to be very pretentious and formal about it you could say something like "verisimilitude by euphony."
(This example was recursive. :) )
The newish word "truthiness" sort of applies here but focuses more on gut feelings or things that just seem true instead of a statement's visual or oral attractiveness.
The word you're looking for is specious.
It sounds like something that would fall among the logical fallacies.
Perhaps "prestigious jargon": http://www.care2.com/c2c/groups/disc.html?gpp=18556&pst=904731
Or "appeal to emotion": http://www.nizkor.org/features/fallacies/appeal-to-emotion.html