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Explanation: As Michael noted, this means literally 'purposes that endure forever', but in the literary and religious tradition of England and UK English, it also has an overtone of 'hallowed' (devine), from the distinction between mortal = human and immortal = divine.
Lawrence was of course fully aware of the literary and religious traditions, and here he is playing on both meanings and most likely being intentionally provocative -- and intentionally using 'elevated' words to refer to 'common' things is also an established part of the English literary tradition.