壁に絵がつけてある

Explanation: We already know that  N(location)にNがある means “there is [a] N [on/in…] N(location).” Using the -te form of a transitive verb shows what somebody did to the thing to get it there. Examples:

  • (つくえ)の上にメモが()いてあります。

A memo has been put on the desk.

  • カレンダーに今月の予定が書いてあります。

This month’s schedule has been written on the calendar