Meaning of ており in Japanese

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Definition of ており

ており(teori) 【手織り ·手織】

ておりばた(teoribata) 【手織り機 ·手織機】

Thank you for your business. Please come again!

おご名前なまえは以前いぜんからうかがっておりますおる。

Your name is familiar to me.

おご名前なまえはかねてから承知しょうちいたしておりますおる。

Your name is familiar to me.

おご便りたより楽しみにお待ちしてするおりますおる。

I am looking forward to hearing from you.

お世話になっておりますおる。

It has always been a pleasure to work with you.

おかげで元気げんきにしてするおりますおる。

They're all fine, thank you.

I've heard a lot about you.

I am acquainted with your father.

We are all looking forward to seeing you and your family.

I really look forward to your visit in the near future.