In plain words
Greed, restless activity, undertaking of actions, lack of inner quiet, and craving arise when rajas predominates, best of Bharatas.
Word for word
Greed, activity, the undertaking of actions, unrest, craving: these arise when rajas has grown, O best of the Bharatas.
लोभः प्रवृत्तिरारम्भः कर्मणामशमः स्पृहारजस्येतानि जायन्ते विवृद्धे भरतर्षभ
Other commentaries
The commentators
▸Bhagavadgītābhāṣyam
रजसः उद्भूतस्य इदं चिह्नम् —
लोभः परद्रव्यादित्सा, प्रवृत्तिः प्रवर्तनं सामान्यचेष्टा, आरम्भः ; कस्य ? कर्मणाम् । अशमः अनुपशमः, हर्षरागादिप्रवृत्तिः, स्पृहा सर्वसामान्यवस्तुविषया तृष्णा — रजसि गुणे विवृद्धे एतानि लिङ्गानि जायन्ते हे भरतर्षभ ॥ १२ ॥
In plain words
And here is how you can tell rajas has taken over —
Lobha is the itch to take what belongs to someone else. Pravṛtti is being pushed into motion — generalized restless doing. Ārambha — of what? Of works, of new projects. Aśama is never settling: elation, attachment and the rest keep welling up. Spṛhā is thirst that fixes on nothing in particular and wants everything. When rajas, the guṇa, has swelled, these are the marks that appear, Arjuna, bull among the Bharatas.
Close to the Sanskrit
This is the sign of rajas when it has arisen [i.e. become predominant] —
Lobha is the wish to take another's property. Pravṛtti is being set in motion, general exertion. Ārambha — of what? Of actions. Aśama is non-subsiding, the surging of elation, attachment and the like. Spṛhā is thirst whose object is everything indiscriminately. When rajas, the guṇa, has grown strong, these marks arise, O bull among the Bharatas.