Hi, and welcome.

P0128 - replace the engine thermostat. And the water pump if you don't know its history.
P0174 - check and/or replace the air intake boot (the rubber thing on the throttle body)
P0313 - could be a failing fuel pump or a myriad of other things.

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12 E70 3.5i xDrive
03 E46 330i ZHP
01 E53 3.0i
98 E36 323is
12 Audi A4 Quattro
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73 MGB