を探すのに

to look for

→ を
phrase Rare #22,112
to look for Used to express the purpose of an action: “for looking for” or “in order to look for.” Here, のに is not the concessive phrase meaning “although.”
JA: 鍵を探すのに部屋中を調べました。
EN: I searched the whole room to look for my keys.

あなたのを探すのにまったく困難なかった

I had no trouble finding your house at all.

私は駅で切符を探すのに大変苦労した

I had a really hard time finding my ticket at the station.

プージャを探すのに人手が必要なんだ

We need more people to search for Pooja.

— Article 15 (2019)

彼女はそのドレスを探すのに歩き回った

She walked around looking for that dress.

私は落としたを探すのに何時間も費やした

I spent hours looking for the key I had dropped.

マッリを探すのに全力を尽くしている

I'm doing everything I can to find Malli.

— RRR (2022)

君のマンションを探すのに苦労した

I had a hard time finding your apartment building.