Maxwell, 60, was the former girlfriend of sex offender billionaire Jeffrey Epstein, who died during his detention in what an investigation determined was suicidal.
As the daughter of a British media mogul, she grew up among the world's wealthiest.
She was convicted in December of recruiting girls for sexual exploitation - including on one of the most serious of several charges of sexual trafficking.
The court will announce the penalty on 28 June.
Cheated girls into a trap according to the indictment
Two of the four plaintiffs in the case were, according to their own statements, 14 and 15 years old when they were subjected to sexual abuse after being recruited by Maxwell, who initially offered them shopping and a cinema.
The girls were then introduced to Epstein.
In a written statement, the prosecution side resembles Maxwell's recruitment methods for a predator.
They believe she should be imprisoned for between 30 and 50 years.
Her defense argues that the maximum sentence should not exceed five years and believes that the court should take into account that she has already been in custody for almost two years in a substandard prison.
An argument that the prosecution, according to Reuters, dismissed:
"Undoubtedly, it has been a shocking and unpleasant experience to go from constant care to being detained," reads their comment.
Maxwell sins for Epstein's crime
The trial in New York has been described as the culmination of the metoo movement when several influential men were publicly accused of sex crimes.
Maxwell's defenders believe she became a "scapegoat" after Epstein died before he could be brought to justice, reports Reuters.
He was suspected of several crimes.
There is information that Maxwell himself took part in the suspected abuse.
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The media mogul's daughter who moved in affluent circles - this is Ghislaine Maxwell.