请教OG12的一道语法题，关于省略的。

chopper2012

17. Thecommission has directed advertisers to restrict the use of the word “natural” to foods that do notcontain color or flavor additives, chemical preservatives, or nothing thathas been synthesized.

(A) or nothing thathas been

(B) or that has been

(C) and nothing thatis

(D) or anything thathas been

(E) and anything

根据anything及or很容易选出D，问题是D的that has been是否有点累赘？能否省略为E的形式？