Social tasks are interesting but a task without a deadline is not so useful. So

Social tasks are interesting but a task without a deadline is not so useful. So we developed a very simple process where a user can assign a task with a deadline to another user. Now we want this process task to appear together with the social tasks.
The mentioned process task appears in the task's list of the assigned user in the "Assigned to Me" category.
Now we want that the mentioned process task appears in the task's list of the user that assigned the task in the "Sent by Me" category.
Is this possible?

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OriginalPostID-111001

OriginalPostID-111001