|When you say "safely remove hardware/eject device" doesn't work on Windows 7, what do you mean exactly? Do you get a message saying something like "this device is currently in use" ?|
Do not take the advice given by tech support as just switching the drive off can cause data corruption if Windows is accessing it at the same time.
To prevent this danger, set up the removal policy for that device to "Quick Removal" like this:
Switch on that external drive.
Go to Control Panel > Device Manager.
Right-click that drive and choose "Properties".
Click the "Policies" tab.
Click the radio-button for "Quick removal".
Now you can switch off that drive at any time as long as Windows is not reading from it or writing to it (check it's activity light is not flashing').