The EN in your text seems dubious — I suspect written by a non-native.

The text quoted is ambiguous, depending on just how accurate or not the EN is.

I have assumed that this is about clearing the snags, and hence being able to "cross them off the list", hence my suggestion of 'acquitter'.

Likewise, I have assumed that 'the area' refers to the management etc. for this given area (of the country) — you may have other references to this in your document, which will allow you to see whether you need 'direction' or some other term, and also to what extent it is 'régional' or something more local.

HOWEVER, that said, there are several ambiguities:

1) 'Closed' could indeed mean 'cleared'; BUT it might also mean that the listed is 'approved' or 'completed' (i.e. has not yet been dealt with)

2) 'by the area' is curious in its use of the definite article; I have assumed from this it means 'the area management' etc. BUT if the EN is poor, and the definite article questionable, there are two other meanings I can see:
a) have the list validated by the particular 'area' or 'department' of the company concerned by the particular snags
or
b) make a snagging list by area: make a list of problems broken down by the various areas into which the project is divided; either literally areas or zones / spaces, or 'areas' in the sense of 'departments concerned'. This could make some sense, as there is the mention of clarity.

I'm afraid I can't make any better suggestions unless you can come up with more clues from your wider context; otherwise, it is sufficiently ambiguous, and the potential meanings so divergent, that I really think you have no option but to ask your customer for clarification.


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Note added at 1 heure (2017-08-01 06:11:18 GMT)
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Gilles brings up a point that I'd originally addressed in my initial answer, now deleted: depending on how Asker structures the entire sentence, it might (or might not) be better style to use 'la' in front of the verb, in order to avoid repetition of 'la liste'; however, it does all depend on the way the sentence is handled overall, and I don't think this minor issue invalidates the rest of my suggestion.

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Note added at 5 heures (2017-08-01 10:17:47 GMT)
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I understand, Eric! Sometimes you can glean meagre clues from other parts of your text... if not, you need to try and gat an answer from your customer, or at least, flag up the potential problems for them to decide for themselves.