Concept:
Migmatite is a mixed rock showing both metamorphic and igneous characters. It is commonly formed under very high-grade metamorphic conditions where partial melting takes place.
Step 1: Check statement A.
Migmatite contains both metamorphic portions and igneous-looking melted portions.
\[
A \text{ is correct}
\]
Step 2: Check statement B.
Migmatites generally form under high temperature and high pressure conditions during high-grade metamorphism.
\[
B \text{ is correct}
\]
Step 3: Check statement C.
During partial melting, felsic material may separate from darker mafic material.
\[
C \text{ is correct}
\]
Step 4: Check statement D.
Prolonged activity of chemically active fluids is more closely related to metasomatism, not the main formation process of migmatite.
\[
D \text{ is incorrect}
\]
Thus, the correct statements are:
\[
A,B,C
\]
\[
\therefore \text{Correct Answer is (C)}
\]