This article may shock some sensitive readers, to whom I offer my apologies in advance.

这篇文章或许会让一些敏感的读者感到震惊，我先向他们表达歉意。

youdao

Please allow me to present my apologies.

请允许我致歉。

《牛津词典》

Please accept my apologies at having to refuse.

不能奉约， 谨致歉意。

《新英汉大辞典》

"So,I announce to all Lebanese that I have submitted to his highness the president my apologies."

VOA: standard.2009.09.11

He said, my apologies for not answering your letter but my health is poor and--but it was a long letter.

他写道,非常抱歉没能及时回复,我身体欠佳,这是一封很长的信

耶鲁公开课 - 金融市场课程节选

So, assuming -- if anyone got it wrong because of that, that's my apologies, that's my fault.

如果有人是因为这个原因做错了，那我非常抱歉，这是我的错。

麻省理工公开课 - 化学原理课程节选

For example, the false hope that was offered and I professionally offer my apologies for that.

BBC: Raychel Ferguson

My apologies for being so late in replying to your instructive letter of Sept. 14.

FORBES: How To Solve The Health Care Crisis

My apologies, we do have another -- don't tell Dave Matthews I forgot about him.

WHITEHOUSE: The White House