Recent beat ups of weaker teams has given us some encouragement and forward thinking whether this team can reach the playoffs, much less make a run in them.
At 47-45, the Sox have 70 games remaining . Last year the Royals and Tigers made the playoffs with 86 wins.
To reach 86 , the Red Sox would need to finish 39-31, 8 games over .500 , a .557 win rate. There are 8 teams currently at or above .557 win rates, and 6 of those are division leaders . The Rays and Yankees have not played to that win rate this year.
As others have noted, the series against teams ahead of the Sox , starting with 4 vs the Rays , between now and the deadline will tell you if this team has a chance.
Breslow said the team would do better after Dever's departure and the time to back that up is between now and July 31. Then navigate the woeful August-Septembers of the last 3 years.