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Подвезти строительные материалы = to deliver building materials (as usual - nothing special. Builders can say "Подвезли стройматериалы" - the building materials have arrived.

Довезти строительные...

Подвезти (from подвозить) = to give a ride/lift

1. Example - your friend asks you to подвезти him to shopping center.

2. Example - you're pushing wheelbarrow hard and finally позвозите it to...