Hi. Let's say my company has two websites. exampleONE.com and exampleTWO.com. exampleONE.com comes from a company that provides full-package service. They designed the site, host it, etc, etc. Their service is very expensive ($400/month), but the website does really well in search engine rankings, as it is well established, etc. The service has built it up to the point it is.
ExampleTWO.com does not fare as well, but it does not incur monthly fees like ExampleONE. If I was to take a subdomain of exampleONE, such as exampleONE.com/articles and have it redirect (301 redirect) to exampleTWO, will that improve TWO's search engine rankings? Or vice versa?