不能用一般过去式.
不定式的三种形式：
一般式 to do (被动 to be done)表将来
进行式 to be doing  表现在
完成式 to have done (被动to have been done）表过去.符合本句语法.
it is said that  the painting was written by the girl中的 was written是被动语态,两者没联系.
那句意是一样吗，一个是完成，一个是过去的事情