French door LG refrigerator with freezer on the bottom and water dispenser on the left door...but the water flow is really, really slow. Like an ounce a minute. Any suggestions?

The solenoid controlled dispensing valve could be defective.

Check the filter membrane specification with the old and new both are same. If the valve high water flow will gradually decrees.

I don't see from the literature that this model dispense ICE from the "front door." The dispenser on the left door seems only to dispense water. In your configuration the water comes through a completely closed system until it reaches your glass and should therefore not have an order or taste different from that of your cubes in the bottom Freezer.

Most likely your water flow is restricted by Ice build up within the small reservoir located in the refrigerator section. If that is not a problem then you could have a flow valve that's not opening fully.

Try replacing the filter again, If it works again then you might want to think about putting some sort of water softener system in your home

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Check the filter and replace if necessary.

Make sure the hose behind the fridge is not kinking up, slowing down the flow rate of water.

The water line is clogged or water dispenser valve is blocked.Click this link below for troubleshooting:---

http://technoanswers.blogspot.com/2011/10/water-dispenser-not-working-on_19.html

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This should help.Thanks.Helpmech.

When was the last time you changed the water filter? If the filter is clogged from long usage it will slow down the water flow. Filters should be changed 6-12 months.

Disconnect the water line where it comes out of the water inlet valve and see how the flow is when you try the dispenser. Disconntct the water line at the bottom of the freezer door where it goes into the door. If it flows good here it may be freezing in the door. Open the door till it thaws.
If it's good at the inlet valve and slow at the door, some models have a way to put a plug in and bypass the filter.