From: dmaster342 | #002There is no mention of the previous game though (to my knowledge), so each game can actually function as a stand-alone game. It's really not completely necessary to play the previous games as much in this series IMO.
There is some minor plot details and villains mentioned in both games that are building up to the story for the next Professor Layton. I'd recommend playing Last Specter before Miracle Mask.
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Reading:
A Clash of Kings - George R. R. Martin
http://i.imgur.com/AUbFA.jpg http://i.imgur.com/nYklT.jpg