This is a problem which has, unsurprisingly been attacked from the angle of Marxian economics rather than only orthodox economics; Andrew Kliman who is particularly famous within Marxian economics for his TSSI solution to the charges of Marx's inconsistency in Vol. III of Capital has addressed it in the context of the operation of capitalism in general in his book The Failure of Capitalist Production[0], though its name spells something already reiterated many times by Marxists, he takes the lens through the panic of 2008 and what has followed it. It's a very good read even for those who aren't looking into Marxian economics.

He finds, contraray to mainstream Left accounts of the economy that "U.S workers are not being paid less in real terms than decades ago; their real pay has risen and their share in the nation's income has not fallen. It is higher now than it was in 1960 and it has been stable since 1970." nevertheless he pursues a Marxist analysis throughout the book even bearing this seemingly fatal attack to claims of worker exploitation in mind.

For a more theoretical investigation into the roots and effects of automiton on employment, I must recommend Ernest Mandel's short work "Marx, the Present Crisis and the Future of Labour"[1] from 1985 which marshalls statistics, with examples from Japan, for the validity of Marx's claims.

[0] https://libcom.org/files/The%20failure%20of%20capitalist%20p...

[1] https://www.marxists.org/archive/mandel/1985/xx/future.html