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He wants them to spy on Hamlet.
"That, being of so young days brought up with him
And since so neighbored to his youth and 'havior,
That you vouchsafe your rest here in our court
Some little time so by your companies
To draw him on to pleasures and to gather,
So much as from occasion you may glean,
Whether aught, to us unknown, afflicts him thus
That, opened, lies within our remedy."
Hamlet/ Act 2/ Scene 2