mystify

verbs

be a mystery or bewildering to
"This beats me!"; "Got me--I don't know the answer!"; "a vexing problem"; "This question really stuck me"
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make mysterious
"mystify the story"
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antonym
is a type of (narrower)
make undecipherable or imperceptible by obscuring or concealing
"a hidden message"; "a veiled threat"