Hi Bruce Anderson,
Do you mean that you want to save attachments from multiple messages or delete them at once?
According to my research, I'm afraid that there is no such a built-in option in Outlook to realize this.
You could refer to the reply from Roady in
this link to see whether it is helpful to you.
If you have more concerns on this feature, it is encouraged to visit the Outlook user voice forum:
https://outlook.uservoice.com/ to vote for a similar idea or post your own.
By the way, since support for Outlook 2007 has ended on October 10, 2017. Microsoft will not provide support for Outlook 2007, including security patches, non-security hot fixes, and incident/assisted support. It is recommended to upgrade to newer version
of Office to get better support and user experience.
Thank you for your understanding and support.
Have a nice day :)
Regards,
Perry
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