affect ****
impact ****
bear upon
bear on
touch on
touch ****

But she could not bring her mind to bear upon the question.

We may come on something later which will bear upon it.

I even believe that he brought some pressure to bear upon the young man.

Making it, in fact, part of his own knowledge that could be brought to bear upon the subject at hand.

These factors seem to me to bear upon that decision.

"However, let us hear some more about the objects which do seem to you to bear upon the case."

"And how do you consider that all this bears upon the general case?"

I had known that there was something which might bear upon this matter.

She could feel the power of his personality being brought to bear upon her.

He understood now why all the pressure was being brought to bear upon this case.