The phrase "this ties in with" is correct and usable in written English.
You can use it when you want to denote a connection between two distinct ideas that are related in some way. For example: The findings of the study suggest that getting enough sleep can improve memory retention. This ties in with previous research that indicates a correlation between adequate rest and improved cognitive functioning.
This ties in with the song, of course.
"Some of this ties in with the argument the prime minister was making [on Monday].
This ties in with the question of what most people's online behavior is likely to be.
This ties in with a growing trend towards recreational spaces that present a more earthy, Walden-esque existence.
This ties in with longstanding fears that Saddam might use such a moment to unleash biological or chemical weapons.
This ties in with a general suspicion that "Atonement," as a story about stories, may be too self-conscious for its own good.
This ties in with something I've been feeling: a desire to "simplify, simplify, simplify" as Henry David Thoreau put it from his log cabin by Walden Pond.
This ties in with the 1 Billion Pound Challenge launched by the University of Northampton in 2012, asking the sector to focus more on the 68,000 social enterprises that contributed £24bn to the UK economy last year.
We may not produce something as popular as Serial, but we'll try… This ties in with No. 5, but I wanted to give it a resolution of its own: we will continue to use stunning photography.
This ties in with another interpretation of Pac-Man as the ultimate modern shopper, trapped in a cycle of meaningless consumption and endless binging on electronic treats in a sterile technological landscape.
Before each match the commentators now go through the teams, mentioning any debuts, or players returning from injury – according to Channon this ties in with the game's Match Day Live functionality, so the comments reflect the real-life season.
