"At no time did Mr. Timberlake and Ms. Kunis exchange inappropriate texts or e-mails ... The insistence that there is any inappropriate correspondence between the two parties is entirely false," they said in a joint statement.
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Last week, TMZ reported that Kunis' phone had been hacked and that it contained photos including her in the bathtub and Timberlake wearing women's underwear on his head.
But at least Timberlake and Kunis can joke about the rumor.
"Mr. Timberlake would like us to make it clear that while he might write songs about putting things in boxes, he never has and definitely doesn't make a habit of taking any photos of them and sending them," the statement read referring to Timberlake's Saturday Night Live song, "D—k in a Box." "Ms. Kunis would like us to add that while she is a fan of the song, she does not have nor has ever had photos of any male parts in her possession."