I experienced the described issue for all akonadi/kmail versions which are ported to frameworks.

The system I am using is Arch with the following (relevant) packages installed
- plasma-desktop: 5.5.1
- plasma-framework: 5.17
- framework components 5.17
- kde applications: 15.12, including kmail and akonadi

Moreover, as a dependency of digikam, the following kde 4 stuff is there
- kdebase-runtime: 15.12
- kdebase-lib: 15.12
- kdepimlibs4: 4.14.10
- libkipi4: 15.08
- libakonadi-qt4: 1.13.0
- libbaloo4: 4.14.3

I configure two generic imap resource in kmail. The first points to the mail server of my 
university, the second to the one of my web provider. I do not know what imap server they are 
running, but likely they are running different software. Thus, I guess, the issue is not with the 
server but with the client side. I do not configure anything special like server side subscription 
or sieve script.

On initial population of the mailboxes, everything seem fine. All messages are there and readable. 
The trouble starts as soon as I start to move around mails manually or via kmail filters or delete 
messages. Say, I move a message from the Inbox to the Private folder. The message disappears in the 
Inbox and seems to be moved to Privat. However, the message is not really moved. I is still in the 
Inbox and reappears the next time kmail refreshes the Inbox. The mail is grayed in the 
Inbox (everything is good with the messages in Private). In the Inboxr, I can not click on it, move 
or delete it. It just sits there, grayed out, not touchable. Now, using the web interface of 
my universities mail system, the mail is marked as deleted in the Inbox, but still there. At least, 
using the web interface, I can select the massage and delete it for real. Then, also in kmail, the 
message disappears. Unfortunately, I can not properly name the state of the deleted message in 
"imap"-terms.

On top of this issue, moved messages start to appear in the target folder multiple times. There is 
always one instance of the message which is clickable and good, but with time, multiple grayed out
versions start to accumulate. They seem to be in the same state as the moved one in the source 
folder.

If there is any more information I can provide, do not hesitate to drop me a mail.

Reproducible: Always

Steps to Reproduce:
1. Create a Imap resource in framework based kmail
2. Move or delete messages
3. Refresh mailbox and observe grayed out, uncklickable messages

Actual Results:  
Messages are not moved or deleted from mailbox.

Expected Results:  
Messages should be moved or deleted from mailbox.