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After months and months of begging to get his wife Paula Patton back, it looks as if Robin Thicke is throwing in the towel.

Thicke put their LA home on the market Monday, and people are taking that as a strong indication that the road has come to and end between the two. Paula has not lived there since their separation back in February.

Sources connected with Robin tell TMZ … an attorney is already working on a financial settlement — separating assets.

Other sources say, however, neither side has hired a divorce lawyer.

But Robin still has some fight in him apparently ’cause he’s saying that Paula will have to be the first to file for divorce. It seems he’s leaving the door cracked about a quarter of an inch just in case. However, it appears he’s moving on

The 3,158 square foot home was listed Monday with an asking price of $2,985,000.

It was originally purchased by Robin’s dad, Alan Thicke back in 1990 for “only” $910,000 — although Robin’s name is on the deed now.