The A1045 started on the A1044 to the north of the village of Maltby and headed north into Thornaby-on-Tees, ending between the railway station and the Victoria Bridge over the Tees. This road was numbered A176 in 1922, went through a period of being the A67 and is now the A1130.
The A1045 is now redundant. The A19 runs parallel less than a mile to the east and this caused its downfall, although not for some time after it was built. The A1045 disappeared off the maps around 2000. The southern half, however, remains an A-road as the A1044 was rerouted this way at the same time.
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