Magic Duels on Steam – Where to Find Deck Files

After a few tests, it seems that the slot() file mentionned hereabove contains the character's data (level, equipment, unlocks, etc.)

So if you play on two different computers, you just have to copy/paste this file at the right location: C:\Users\USERNAME\AppData\Local\Demiurge Studios\Shoot Many Robots\SOMEWEIRDINTEGER\

203160 is Tomb Raider, 380 is Half-Life 2: Episode One. That's why the files don't match up.

But back to your original question, HL2/EP1/EP2 sync files directly from their folders, and not through the "remote" folder. If you look under 380, you'll only see a "cfg" folder, but if you look under "remotecache.vdf" (it's a JSON-like file), you can see exactly what it's synced and where it lies:

"380"
{
    "episodic/save/autosave.sav"
    {
        "root"      "1"
        "size"      "5616658"
        "localtime"     "1275010847"
        "time"      "1275011306"
        "remotetime"        "1275011306"
        "sha"       "ddbe3d22922f1a6f65d82e64266f99a767cedbb1"
        "syncstate"     "1"
        "persiststate"      "0"
        "platformstosync2"      "-1"
    }
    "episodic/save/autosave01.sav"
    {
        "root"      "1"
        "size"      "4501287"
        "localtime"     "1275010846"
        "time"      "1275011306"
        "remotetime"        "1275011306"
        "sha"       "dbab1a5def68f4c7c428fb71367d9a6f046b4b69"
        "syncstate"     "1"
        "persiststate"      "0"
        "platformstosync2"      "-1"
    }
    ...

And according to Steam's own developer console, you can see exactly what it'll sync and from where it'll look for files to sync: