I am writing because I am inviting some friends over for dinner and I thought you might also like to join us.

我写信的目的是因为我将邀请一些朋友来吃晚饭，所以想知道你是否也愿意前来？——邀请。

youdao

In China, business people usually associate with their business partners, say, inviting them to a party or a dinner banquet. In this way, they know whether their business friends are reliable.

中国这个环境之下，通常会请生意上的伙伴去参加晚会啊，或者吃饭，进行社交，以此了结他们是不是可靠。

youdao

Hope all is well. Anyway, I'm writing because I'm inviting some friends over for dinner and I thought you might also like to join us.

我给你写信的原因是我要邀请一些朋友前来吃晚饭，所以想到你也许愿意一起来凑个热闹。

youdao