The latter is better. There is no possession so the ' is wrong to me. What exactly do you mean?
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English 1b3
There were no promotions that stimulated customers' purchasing a product.
There were no promotions that stimulated customers purchasing a product.I'm afraid I'm still not clear what you're wanting to say. To me, the second one means:
There wer
Mr Wordyor are you talking about promotions stimulating (encouraging) customers to purchase products?
English 1b3This is fine. (However, "him" is common and, to me, acceptable in everyday English.)
Take this example:
I can't stand his singing in the shower
Not 'him.
English 1b3Do you now see my version with the apostrophe as correct?I'm afraid not. To me, the possessive + geru
Mr Wordy
There were no promotions that stimulated customers' purchasing of a product.