[Q] how to recover messages? by activesync or ? please help ASAP!

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I want to recover/back up messages to my computer from my dark X1 (lcd flex cable damaged no picture) but not sure how do I do it ?
I did sync everything possible from the phone using MS activesync to my laptop 's outlook and I get contacts, calendar, notes etc. but my messages are not there. On the phone outlook had a separate folder with messages. DOes the Activesync omit the messages folder ?
I chose to sync "all" in the time bracket options for email.

Is there any other way to get my messages back ?

I have asked this question in a couple of other related threads, no answer so far.

Anyways I know activesync won't copy the messages. I could use PIM if I had a functional phone but this X1 unfortunately is with screen-off mode

Anyone knows a way to get sms back from PC ?

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I can provide a solution to this: use PIM backup through the program called "My mobiler" that allows to use the phone through PC
(somebody else suggested this in another thread)