If you are a single user of TextUs and do not share your TextUs account with other users your Inbox will look like so:
Open - Any Conversation that is active or that has been sent to your TextUs number will display in Open
Starred - Any Conversation you Star will appear here. Even if you Close a Starred conversation, it will appear here.
My Scheduled - Any Conversation with a Scheduled Message will appear here.
Closed - Any Conversation manually or automatically closed will appear here.
Campaigns - Your recent campaign messages will appear here sorted under the campaign.