〜かねる

ご要望(ようぼう)にはお応(こた)えしかねます。

Goyōbō ni wa okotae shikanemasu.

I am afraid we cannot meet your request.

かねます is the standard soft business refusal — far gentler than できません

その件(けん)については判断(はんだん)しかねます。

Sono ken ni tsuite wa handan shikanemasu.

I am not in a position to judge on that.

Extremely common in email, because it avoids a flat no

意味(いみ)は否定(ひてい)なのに形(かたち)は肯定(こうてい)です。

Imi wa hitei na noni katachi wa kōtei desu.

The meaning is negative while the form is positive.

That is why it lands politely — not one negative word in it