I left out these three last statements. Can you please consider them two? Many thanks again, Ms. Sue!

1) As we are short of time (as the deadline is approaching), we urgently need to know if you would be interested in such a partnership.
2) If you have other proposals as to the topics to be dealt with within our research project, we are pleased to consider them.
3) Is it a mistake to say "They have lived there since 1983 istead of they have been living there since 1983?)

All of these are ok.

Certainly! Here are explanations for the three additional statements:

1) The first statement is a request for information. The writer is explaining that they are running out of time because the deadline is coming up, and they need to know if the recipient is interested in partnering with them. To respond to this request, you can either indicate your interest and ask for further details or politely decline if you are not interested.

2) The second statement is an offer to consider other topic proposals for a research project. The writer is expressing openness to alternative suggestions and is willing to discuss different ideas. If you have any suggestions for topics that could be included in the research project, you can propose them here.

3) The third statement is asking for clarification regarding the correct usage of the phrase "They have lived there since 1983" versus "They have been living there since 1983." The writer wants to know if it is a mistake to use the present perfect tense instead of the present perfect progressive tense. To address this question, it is not necessarily a mistake to use either form. Both phrases convey the same meaning but with a slight difference in emphasis. "They have lived there since 1983" implies a continuous action from 1983 until the present, while "They have been living there since 1983" puts more emphasis on the ongoing nature of their residency. Both forms are grammatically correct, so the choice depends on which aspect you want to emphasize.