We are investigating complaints from customers about goods not being properly inspected before leaving the factory.

not being...是什么用法，是现在分词短语作定语修饰goods吗？还是其它用法？

【答】整个goods not being properly inspected before leaving the factory 是动名词的复合结构，作about的宾语。

about goods not being properly inspected before leaving the factory 意为：“关于货物在出厂前未被认真检查”。

【翻译】我们正在调查有关货物在出厂前未被认真检查的客户的投诉。

 在某些介词或及物动词之后接动名词，为了说明动名词的施事者，在前面加上一个逻辑主语。这就是“动名词的复合结构”。例如：

Do you mind Tom opening the window? 你介意汤姆打开窗户吗？

I can’t understand an adult scolding a little girl. 我无法理解一个大人责骂一个小女孩的场面。

I still remember my mother taking me to the zoo for the first time. 我仍然记得我妈妈第一次带我去动物园的情形。

The novel is about three sisters growing up. 这部小说是关于三姐妹如何长大的。

Can you hear the noise of the sofa being dragged? 你能听见沙发被拖动的声音吗？

Have you heard of women playing football? 你听说过女的踢足球吗？