pluck something out of the air
US /plʌk ˈsʌmθɪŋ aʊt əv ðɪ ɛr/
UK /plʌk ˈsʌmθɪŋ aʊt əv ðɪ ɛr/

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.