付い

付い

"付い" is not a standalone word but a conjugated form of the verb "付く" (tsuku), meaning "to attach," "to stick," or "to be fixed."

Here, '付いていました' means 'was attached to,' referring to the keys being found in the pocket.

鍵が見つからずに困っていますが、ポケットに付いていました。

I was troubled because I couldn't find the keys, but they were in my pocket.

In this case, '付いています' conveys the meaning of 'adhering to' or 'bringing.'

彼女との縁が私に幸運を付いています。

The connection with her brings me good luck.

Here, '付いてくる' implies 'comes with' or 'is accompanied by.'

その古い絵本には楽しさが付いてくる。

That old picture book is accompanied by enjoyment.