You haven't given us many facts to go on.
One big problem I see is that "she has been out of country for long time" ... if any trip was for more than 180 days ... she has problems.
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yes, if long time included at least one trip of longer than 180 days in the last 4 years and one day, her N400 will be denied.
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Depends on whether those trips disqualify her.
The Court of Appeals for the Seventh Circuit recently stated: "The Immigration and Nationality Act is a bit of a beast. It is not known for being warm or cuddly; words like "intricate" and "Byzantine" come more readily to mind. Nor is it known for being easy to understand; we have often re-marked on its fiendish complexity."
You should retain an experienced immigration lawyer to review all the facts, advise you, and handle the case. You can find one through http://www.ailalawyer.com.
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