Which does "to promote the movie Minions" modify? Put up or deal?
Until now, many people have seen Minions. Not the recent movie, but the village in England with the same name. Now it may be more difficult to find it than before, as the village has had to take down its sign because it worries about safety. The village put up a special sign in May as part of a deal with Universal Studios to promote the movie Minions.

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*WHAT does....

In the county of Cornwall, in South-West England, there is a village called Minions. 
That village made a deal with Universal Studios (the film company which made the movie "Minions") to promote (advertise) the movie.

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put up = erected, built - verb

part of deal -  partial campaign,  commercial trading

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promote - verb
minions - noun

minion = name of a town
minion = name of a movie
&...
min·ion
ˈminyən/Submit
noun
plural noun: minions
a follower or underling of a powerful person, especially a servile or unimportant one.
synonyms:	underling, henchman, flunky, lackey, hanger-on, follower, servant, hireling, vassal, stooge, toady, sycophant