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Verify WiFi Antenna Connectors are clean, not damaged and connected properly.
Remove the WiFi Antenna connectors to inspect and assure the WiFi antenna connectors are clean and not damaged. See pg 126, or as noted in the PDF reader as pg 132, of the "thinkpad t40 t40p t41 t41p t42 t42p Maintenance Manual" for more details if needed. This manual is found in the Attached Documents section at the end of this Guide.
Reconnect the WiFi Antenna module making sure the connections are properly seated.