"privately" in the adverb sense
1. privately, in private, in camera
kept private or confined to those intimately concerned
"it was discussed privately between the two men"
"privately, she thought differently"
"some member of his own party hoped privately for his defeat"
"he was questioned in private"
2. privately
by a private person or interest
"a privately financed campaign"
Source: WordNet® (An amazing lexical database of English)
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