Here is a sample template you can use to write an apology letter for leave without notice.
I sincerely apologize for taking leave without any prior notice on [day and date]. Actually, the last day I left [place], I got caught up with [reason] because of which I had to [reason of leave] without informing.
However, I understand [the problems] that might have came up during my absence. I deeply regret that and assure you that this will not happen again.
I was hoping for some consideration from your end so that I could get back to [work/job] as soon as possible.
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