To pretend to be all right or that everything is going well.(verb)
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Use "keep up appearances" in a sentence
"Anxious to keep up appearances and for the servants not to hear anything."
"Not only would my cover be blown if I didn’t keep up appearances of a Firth-worthy scholar, but I’d be seriously behind in my actual classes when I got home."
"Occasionally he stuffed something into his battered canvas hold-all to keep up appearances for the odd few holidaymakers who watched him curiously from time to time."