All conversations are managed in Inbox under the Messenger page.
On the left panel, you can filter conversations by group, label, or campaign. Moreover, to view Unread, Sent, Opted out, Deleted, or All conversations, select the relevant category on the left panel.
From the top menu in Inbox you can:
Sort by newest/oldest/favorite
Select multiple labels
Select a specific user (if you have secondary users in your account)
Filter messages by date
Export contacts filtered by group/label/campaign
Additionally, you can:
Create a new conversation by clicking on the plus icon next to Inbox
Star/unstar the specific conversation by clicking on the star icon
Mark conversations as read/unread by selecting a specific conversation and clicking on the envelop icons
Delete the conversation by electing a specific conversation and clicking on the bucket icon