Radical insurgent falls in love with an American hostage and as his ideology falters he must orchestrate her escape before his kingpin brother masterminds a major terrorist plot that implicates and kills them both.

Agreed with the above.

You have two stories in your logline - a love story and a thriller, which is the A plot and which is the B plot?

Best to re structure the logline (see DPG's suggestions) to emphasize the A plot.

Two suggestions.

Either:

When a?terrorist's faith?in a radical cause falters after falling in love with?an American hostage, he has 48 hours to free her before his mastermind brother executes a? plot that will kill them both.
(36 words)

Or:

When a?terrorist falls in in love with?an American hostage, he has 48 hours to free her before his mastermind brother executes a? plot that will kill them both.
(29 words)

His faltering faith could certainly be part of the story (as a result of the persuasive arguments -- and charms --of the America captive) but I 'm not certain it's necessary for the logline.? It seems to me the??core of the dramatic dilemma is embodied in the stakes character -- the female hostage whose life he must save.

Save before it's too late:? I tossed in a ticking clock to amp up dramatic tension and urgency.? Whatever deadline you find suitable, I think the story needs to have a ticking clock.? He only has "X" amount of time -- and it's not enough-- to find a away? to free her (and himself).

Anyway, this is a movie I would like to see.? Best wishes.