Yes, they're not just competing for the EPL title or qualifying for next season's Champions League. But they're also facing a tight transfer market. As for Manchester United, hmm, they should be able to improve, but they can't remain in a position that's close to relegation. However, a top-four finish seems difficult (not impossible, but very difficult).
By the way, the latest news from the EPL signings: Nottingham Forest has agreed to sign Bologna right winger Dan Ndoye. He's still quite young, but Bologna will receive €40 million plus add-ons, and the contract will be signed soon.
Source: 𝐇𝐄𝐑𝐄 𝐖𝐄 𝐆𝐎! Nottingham Forest agree deal for Dan Ndoye to join from BolognaLol, Nottingham Forest can't be competing for the title, they know their place, mostly their competition is for survival. Although, I will give them credit they really tried last season but this time around the big clubs have woken up, last season Manchester City and Chelsea struggled a lot which paved way for the likes of Nottingham Forest to seem as if they are putting up a competition for the top 4 but definitely this time around the top 4 spot will be for Liverpool, Chelsea Manchester City and Arsenal.