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>class 37's are still in regular mainline service
>built between 1960 to 1965
The only locos I can think of that are older than the tractors are the Australian GM and B classes (GM10 entered service in June 1952, B61 in August 1952). Pic related is GM10 as of January 15th this year, she mostly hauls track inspection cars around these days but still does the odd bit of freight work.
Ignoring any heritage railways, is there anything older anywhere in the world? I've got a soft spot for old machines that just keep going and going way past when they were expected to be retired.