pluck something out of the air

US /plʌk ˈsʌmθɪŋ aʊt əv ðɪ ɛr/
UK /plʌk ˈsʌmθɪŋ aʊt əv ðɪ ɛr/
"pluck something out of the air" picture
1.

sacar de la manga, inventar

to say something that is not based on any facts or evidence

:
He just plucked that number out of the air; it's not based on any real data.
Él simplemente se sacó ese número de la manga; no se basa en datos reales.
When asked for a solution, she just plucked an idea out of the air.
Cuando le pidieron una solución, ella simplemente se sacó una idea de la manga.