Button Send & Archive

yes, I know it's pretty much archived. Not sure whether you know or don't GMail system. There is Inbox folder, where are all messages you receive. There is also Send folder, where are stored outgoing messages. And there is also All Mail folder where are messages, you don't need to see in Inbox. For example - you receive mail (not so important), so answer the mail and you don't want to see it anymore, but want to store it. So you move it to All Mail folder (Archive). It means that the message is stored, when you use search, it also search for this message, but you don't see it in Inbox. The same is for sent messages. When you send it and click Send & Archive, it send the message and store it in All Mail folder. This is useful, when you're receiving hundreds of mails every day...

So there is the thing - some mails you receive are not important. You just answer them and don't need to see them again (both inbox and send). So in GMail, you click send and archive. The mail goes to archive and you normally don't see it (but it is stored).
But there are also important mails, which you know, you might need them in next, let's say, one or two weeks will need to use (check) again. So you don't archive them.

Now it seems like I can send the message and move it to the archive folder afterwards, but I'm receiving hundreds of mails every day and it is so slow to manage each mail.

So what you are saying is that there is no feature now, right?

I've asked her the question because I thought maybe some user know how to do it...