images in cut and paste for emails

Sometimes we have to cut and paste to log our emails. But if there is an image within the email it does not transfer over. Is there a way to do this without having to upload the images as a file? Our emails are continuous and there is a lot of back and forth between our engineers and customers and sometimes the communications contain images of drawings from our customers. By having to insert it separately as a file causes some confusion because it is no longer part of the context within a certain section of the email. It would be great if all the information could be pasted into the emails.