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くるでしょう

will come

→ 来る
phrase Uncommon #9,067
will come A polite way to predict or expect that someone or something will come. でしょう can also soften the statement to mean “probably” or “I expect.”
JA: 来週、友達が遊びにくるでしょう。
EN: My friend will probably come to visit next week.

彼は明日私を訪ねてくるでしょうか。

Will he come visit me tomorrow?

これから重要になってくるでしょう

It will likely become important from here on out.

— 甘い生活 (1960)

彼は明日私を訪ねてくるでしょう。

He will come to visit me tomorrow.