The messages are then written to a text file or a CSV, depending on which you select, and it's saved to your phone's SD card. SMS to Text is completely free and available in the Android App Market ...

How to save text messages on Android For better or worse, Android lets apps get their hooks deeper into the phone operating system, which makes it easier for them to access and back up text messages.

TECH How to save text messages on iOS and Android We are all one phone crash away from losing valuable files ...

Google looks like it's working to give Android backup a new option to preserve the files you download with apps like Chrome.