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Difference between By day and By the day

by dayduring the day; in the day-time:

  • Eurostar trains only travel by day and require a reservation.

by the day

1. on a daily basis:

  • Clients who rent by the day can be billed for phone service the day they leave.

2. with every passing day:

  • Protests on campuses were becoming uglier by the day, and the administration cracked down hard.