Sentence examples similar to apologize for involuntary errors from inspiring English sources

The authors apologize for these errors.

The authors apologize for the errors.

The authors wish to apologize for these errors.

The authors would like to apologize for these errors.

The authors apologize for the errors and regret any inconvenience that may have been caused.

We apologize for these embarrassing errors.

The authors apologize for the above errors and any confusion that may have resulted.

We apologize for the error.

I apologize for the error.

We sincerely apologize for the error.

I apologize for the error, which has now been corrected.