think through

think through

To consider or reflect upon something in order to arrive at a solution for of thorough understanding of it. A noun or pronoun can be used between "think" and "through." I don't think you've thought this plan through. We'll have to think through this server issue before we can move on to the next stage of development.
See also: think, through
Farlex Dictionary of Idioms.

think something through

to run over and try to settle something in one's mind. Let me think this through and call you in the morning. I will think through this matter and get back to you.
See also: think, through
McGraw-Hill Dictionary of American Idioms and Phrasal Verbs.

think through

Also, think out. Arrive at a thorough understanding of; devise or contrive thoroughly. For example, That answer doesn't work; I don't believe you've thought the problem through, or He thought out a far more efficient method. The first term dates from the early 1900s, the variant from the mid-1800s. Also see think up.
See also: think, through
The American Heritage® Dictionary of Idioms by Christine Ammer.

think through

v.
To reason about or reflect on something, considering every detail and consequence: Make sure you think through the consequences before you act. Don't make the decision to quit your job right away—think the matter through.
See also: think, through
The American Heritage® Dictionary of Phrasal Verbs.
See also:
  • attune to
  • involve with
  • involve with (someone or something)
  • involved with
  • arrange for
  • arrange for some time
  • arrange some music for
  • back into
  • back into (someone or something)
  • add in