2. Any student whois interested is welcome to participate.
3. I would appreciate it if you could take my proposal into consideration.
结尾句型：I would appreciate it if... 如果...我将不胜感激
take sth. into consideration 考虑到某事，顾及某事，可以在作文中替换consider
4. We would appreciate it if you could reply at your earliest convenience.
书信回复：reply at your earliest convenience 尽早、尽快回复
5. Glad to see you have made some progress in Chinese learning and I’m writing to tell you something about our next lesson.
have made some progress in...
6. I'm sure it can leave a wonderful impression on you!
leave a wonderful impression on...
7. Occasionally learning that you are addicted to table tennis, I am writing to sincerely invite you to join the table tennis team in our school aimed at developing our interests and improving our skills.