so it doesn't need to renew frequently at all.
If you have a static ip address then don't use dhcp. Dhcp is only used to get a dynamic ip address.
Think of your modem as an extension of your computer. If the modem has a static ip address, then your computer has the same static ip address.
Just configure your static ip address in /etc/network/interfaces
(at a terminal, type:
info interfaces
to find out more)
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